Area + expression of a variable from the formula - practice problems
Number of problems found: 981
- A rectangle 15
A rectangle is 5 cm longer its width. It areas is 6 cm square. What are the dimensions of the rectangle.
- Rhombus = area, diagonal
The area of a rhombus is 144 sq cm. One of its diagonals is twice the other. How long is the shorter diagonal?
- The rhombus (a,d)
Find the area of a rhombus, one side of which measures 20 cm, and one diagonal 24 cm.
- The length 20
The length and breadth of a rectangular park are in the ratio 8:5. A path,1.5 m wide, running all around the outside of the park has an area of 594 sq m. Find the dimensions of the park.
- A field
A field is in the shape of a trapezium whose parallel sides are 25 m and 10 m and the non parallel sides are 14 m and 13 m. Find the area of the field.
- Surface = volume
If the volume and the surface area of a sphere are numerically the same then find its radius.
- Two cubes 2
Two cubes each of volume 125 cm³ are joined end to end. Find the surface area of the resulting cuboid .
- The radius 3
The radius of a solid circular cylinder decreases by 20% and its height increases by 10% . Find the percentage change its : (a) volume (b) curved surface area.
- Square lawn
A square lawn has a 2 m wide path surrounding it. If the area of the path is 136 square meters, find the area of the lawn.
- The square - midpoints
The area of a square ABCD is 36 cm². Find the area of the square obtained by joining the midpoints of the sides of the square ABCD.
- Ones cube
Find the volume of a cube whose total surface area is 6 m².
- 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.
- 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.
- 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.
- An equilateral triangle 2
If the sides of an equilateral triangle are increased by 2 meters, the area is increased by 7√3 square meters. Find the length of the side.
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