Geometry

A triangle has a base x and and an altitude y. A second triangle has a base twice the altitude of the first triangle and and an altitude twice the base of the first triangle. What is the area of the second triangle?-2xy
A farmer has two rectangular fields. The larger field has twice the length and four times the width of the smaller field. If the area of the smaller field is k units, what is the area of the larger field?-8k
The second angle of a right triangle is 30°. Then what is the third angle?-60°
A farmer has two rectangular fields. The larger field has twice the length and four times the width of the smaller field. If the smaller field has area k, then the area of the larger field is greater than the area of the smaller field by what amount?-7k
Shahin has purchased a square sheet of plywood of 169 square feet area. To cover a wall he must cut off two feet from a side. What is the area, in square feet of the wall?-143
What is the area of the equilateral triangle if the base BC = 6?-9√3
In the figure below, the area of square PQRS is 64. What is the area of triangle QRT?-32
A rectangular carpet, that is 9 feet by 12 feet, covers 60% of a rectangular floor. What is the area of the floor?-180 square feet
How many tiles each a square tile of 2 inch sides are needed to cover a rectangle floor of 4 feet long and 6 feet wide?-864
If the legs of a right triangle is 3 and 4, then the length of hypotenuse is approximately:-5
How many rectanggular are there in the following figure:-9
If a square is inscribed in a circle of radius r as shown below, then the area of the square region is---2r2
One side of a rectangular field is 4 meters and its diagonal is 5 meters. The area of the field is---12 sq. m
The area of a rectangle is 200 sq. meter. If the length is twice the breadth, what is the perimeter of the rectangle?-60
The sum of the angles of a square is:-360°
What is the area of a circle with aradious of 7 meters?-154 sq. meters
The floor of a company's office has an area of 20000 square feet. If the floor is in the shape of a square approxmately how many feet long is each side?-140
If radious of a circle is increased by 100%, by what % is area of the circle increased?-300%
In redesigning a werehous, the lenght is increased by 20%, the breadth is increased by 40% and the heightis decreased by 25%. What is the net increase in the volume of the redesigned werehouse compared to the previous design?-26%
A 2 feet wide circular path is created around a circular field with a radious of r feet. Find the value of r, in feet, if the area of the field including the path is twice that of the field alone?-2 + 2√2
In the figure below ∠R and ∠S are formed by two inteesecting lines. If ∠R measures 53°, what is the measure of ∠S?-55°
In a garden, there are 10 rows and 12 columns of mango trees. The distance between two trees is 2 meters and a distance of one meter is left from all sides of the boundary of the garden. What is the length of the garden?-24 m
If the coordinates of A and B are (4, 1) and (-2, 7) respectively, then the coordinates of the midpoint of AB are---(1, 4)
Ashraful has purchased a square sheet of plywood 169 square feet area. To cover a wall he must cut off 3 feet from a side. What is the area in square feet of the wall?-130
A circle wheel 28 inches in diameter rotates the same number of inches per second as a circular wheel 35 inches in diameter. If the smaller wheel makes x revolutions per second, how many revolutions per minute does the larger wheel make in terms of x?-48x
Who is the father of Geometry?-Euclid
A carpet that measures 6 ft by 8 ft covers 60% of a floor. What is the area of the floor?-80
How much will it cost to fence in a field that is 360 vm long and 160 cm wide with fence costs Tk.100 a meter?-1040
What is the area of a square (in sq. meter) if its perimeter is 40 meter?-100
A square water tank 2.5 meter deep, can hold 80.000 liters of water. Find length in meters of each side of the tank.-4√2
If the co-ordinates of A and B are (4, 1) and (-2, 7) respectively, then the co-ordinates of the midpoint of AB are:-(1, 4)
A carpet that measures 5 ft by 9 ft covers 75% of a floor. What is the area of the floor?-60
If the area of a circle is 25π then diameter of the circle is---10
If a rectangle's length and width are both doubled, by what percent is the rectangle's area increased?-300%
If P is the center of the circle, then what fraction of the circle region is shaded?-1/6
A gerden is 60m long and 20m wide. Inside the garden there is a 5m wide path around it.The area of the path is in square meter.-500
If the circumference of a circle is increased by 50%, its area will be increased by:-125%
If the voluem of a cube is 27 cubic meters, find the surface area of the cube?-54 square meters
How many tiles each 1 foot square are necessary to form a 1 foot border around the inside of a room 24 feet by 14 feet?-72
A farmer has two rectangular fields. The larger field has twice the length and four times the width of the smaller field. If the area of the smaller field is K units, what is the area of the larger field?-8K
If four triangles are constructed with sides of the length indicated below, which of the following triangles will not be a right triangle?-12, 15, 18
How many spokes are there in a wheel of a car, if any two spokes from an angle of 15°?-24
If two sides of the triangle below have lengths 5 and 6, the perimeterof the triangle could be which of the following? I. 11 II. 15 III.24-II only
The length of a rectangle is increased by 50%, by what percent would the width have to be decreased to maintain same area?-33.33
The width of a rectangular fields is 1/3 rd its length. What is the area of the field in square yards if its length is 120 yeards?-4800
A circular flower bed has diameter 4m. The flower bed is increased so that the diameter is now 12 m. How many times longer is the new flower bed?-9
The diameter of a wheel is 63 cm. Distance traveled by the wheel in 100 revolutions is---198 meters
What is the width of a rectangular field, whose length is 70 feet more than its width and the perimeter is 500 feet?-90 feet
The length of sides AB and AC in the triangle below are equal. What is the measure of angle A?-40°
A circular grass walk of 2 feet wide surrounded a pond of 100 fet in diameter. In terms of π, how many square feet grass walk are there?-204 π
The area of a rectangular R width 4 feet is equal to the area of a square S which has a perimeter of 24 feet. The perimeter of the rectangular R, in feet is---26
The length of a rectangle is 1 inch more than 2 times its width. The area of the reatangle is 36 square inches. What is the length of the rectangle?-9 inches
A rectangle area of 16 meters by 12 meters. is surrounded by a road of 3 meters wide. The area of the road is:-204
Saurabh has purchased a square sheet of plywood 196 square feet area. To cover a wall he must cut off 3 feet from a side. What is the area in square feet of the wall?-154
Given AB = 4 & AC = 5, the perimeter of the ractangle is---14
If the length of rectangle A is one-half the length of rectangle B, and the width of rectangle A is one-half the width of rectangle B, what is the ratio of the area of rectangle A to the area of rectangle B?-1/4
If the length and width of a ractangular garden plot were each increased by 20 percent, what would be the percent increase in the area of the plot?-44%
If both length and width of a rectangular plot for a garden are increased by 20%, What would be the percent increased in the area of the plot?-44%
How many times in a day, the hands of a clock are straight?-48
In square ABCD below, if DE = EB and DF = FC, then the area of the shaded region is what fraction of the area of square region ABCD?-1/8
If a square region (PQRS) has an area of 4 square feet, what is the length of its diagonal(PR)?-2√2 feet
ABCD is a square, EFGH is arectangle, AB = 3, EF = 4, FG = 6. Determine the area of the region outside of ABCD and inside of EFGH.-15
A line segment is drawn from point (8, -2) to point (4,6). The coordinates of the mid point of this line segment are---(6,2)
To find the diameter of a circle where circumference is 30 inches:-divide 30 by π
What is the volume of a cube that has a total surface area of 54?-27
Is square ABCD below, what is the value of {(AC)(AD)}/{(AB)(DC)} =?-√2
In a right angled triangle the horizontal side measures 8 cm and the verticalside measures 12 cm. What is the area of the triangle?-48 sq.cm
Starting from Town S, Mr. Ahsan drove straight East for 3 kms, then he turned left and drove straight North for 4 kms and stopped at Town T. What is the straight-line distance from Town S to Town T?-5 kms
A rectangular tank 10 inch by 8 inch by 4 inch is filled with water. If all of the water is to be transferred to cube-shaped tanks, each one 3 inches on a side, how many of these smaller tanks are needed?-12
If a triangle has base B and the altitude of the triangle is twice the base, then the area of the triangle is:-B2
The angle between the minute hand and the hour hand of the clock when the time is 4.20 is:-10°
The length of a rectangular floor is one and a half times its breadth. What is the perimeter of the floor (in meters) if its area is 216 sq. meters:-60
The area of a rectangle is 460 square meters. If the length is 15% more than the breadth, what is the breadth of the rectangular field?-None of these
A painter has painted one-third of a rectangular wal which is ten feet high. When he will paint another 75 sq. feet of that wall, he will have finished three-quarters of the job. What is the length of the wall?-18 feet
If 60% of a rectangular floor is covered by a rectangular rug of 9 feet by 12 feet, what is the area in square feet of the floor?-180
The perimeter of rectangle is 200 meter. The breadth is 3/7 part of the length. What is the length?-70m
If the length of a rectangular field is 30 feet more than its width and the perimeter is 380 feet, the area of the field is (in sq. feet):-8800
If an angle of a parallelogram is 60 degrees, find the number of degree of remaining angles.-60, 120, 120
Find the volume of a triangular solid cylinder with the following dimensions: 4 feet base, 3 feet height of the triangle and 10 feet height of the cylinder?-60 cft
If the ratio of the radii of the two circles is 3 : 2, than the ratio of the areas of the two circles is:-9 : 4