# Area - practice problems

#### Number of problems found: 2926

- The cuboid 2

If the areas of three adjacent faces of a cuboid are 6,10,22 respectively then find the volume of the cuboid. - The frustum

A frustum of a pyramid is 4 cm at the top and 7 cm square at the bottom and it's 6 cm high. Calculate the volume of the frustum. - Height or altitude

Find the altitude (in cm) of side MT of triangle MNT with side MN = 36 cm, MT = 36 cm and NT = 48 cm. - The length 19

The length and the width of a rectangle are (x+2) and (x-3). If it area is 24cm², what are its dimensions?

- Parallel sides

Area of trapezium is 45 sq cm and sum of the length of parallel sides is 15 cm. Find height of the trapezium. - Three ratios 2

What is the ratio of bases of two triangles when the ratio of their heights is 3:4 and the ratio of their areas is 4:3? - PQR - Euclid

Find the length of line segment PR - leg of the right triangle PQR. PQ=17 cm PS=15 cm QS=8 cm; Point S is the height touch point with a hypotenuse of the RQ. - A conical

A conical tent can accommodate 11 people. Each person needs 4 m² of space on the ground and 20 m³ of air to breathe. Find the height of the tent. - Find area 2

Find the area of the green region in the given picture. Dimensions are shown.

- The sum 47

The sum of 3 numbers in an arithmetic progression (AP) is 15. If 1,4,19 are to be added to the above numbers respectively, it formed a geometric progression (GP). Find the numbers. - Smaller square

Let the points A, B, C and D are midpoints of the sides of the square PQRS. If the area of PQRS is 100 sq cm, what is the area of the smaller square ABCD? - The area 5

The area of a rhombus is 144 sq cm. If one of the diagonals is double the other, find the length of the diagonals. - A parallelogram

The area of a parallelogram is 338 m². If its altitude is twice the corresponding base, find the base and the altitude. - Land cost 2

If a 13/18 plot of land is worth 65000 EUR, what is the value of 3/5?

- Parallelogram - right angles

In parallelogram ABCD; AB = 16 cm, BC = 12 cm and diagonal AC = 20 cm. Find the area of the parallelogram. - An equilateral triangle 2

If the sides of an equilateral triangle be increased by 2 meters, the area is increased by 7√3 square meters. Find the length of the side. - Two syrups

There are two pots of mixture of syrup and water having ratios 3:2 & 4:5 respectively. What quantity of solution of 1st pot is to be mixed with 3 litre of 2nd pot to get a new mixture where both syrup and water will be same? - Sides to area

If the sides of a triangle are 26 cm, 24 cm, and 10 cm, what is its area? - Triangular field

Find the area of a triangular field whose sides are 78m, 50m, and 112m.

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