Area of a shape + square root - practice problems
Number of problems found: 470
- 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.
- Incircle to circumcircle
Find the ratio of the areas of the incircle and the circumcircle of a square.
- Find area 2
Find the area of the green region in the given picture. Dimensions are shown.
- Triangular field
Find the area of a triangular field whose sides are 78m, 50m, and 112m.
- Isosceles triangle 17
One of the equal sides of an isosceles triangle is 13 cm and its perimeter is 50 cm. Find the area of the triangle.
- Circle inscribed square
What is the area of the circle that can be inscribed in a square of 10 cm?
- 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.
- Sides to area
If the sides of a triangle are 26 cm, 24 cm, and 10 cm, what is its area?
- ET inscribed circle
An equilateral triangle has been inscribed in a circle with a radius of 4 cm . Find the area of the shaded region.
- 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.
- 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?
- A parallelogram
The area of a parallelogram is 338 m². If its altitude is twice the corresponding base, find the base and the altitude.
- A variable
A variable rectangle has a constant area of 35 cm². Find the lengths of the sides when the perimeter is minimum.
- 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.
- A square 4
A square plot of land has an area of 20.25 ha. The owner fenced it with Three strands of wire. What length of wire did he use for the whole plot?
- 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?
- 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.
- Parallelogram - right angles
In parallelogram ABCD; AB = 16 cm, BC = 12 cm and diagonal AC = 20 cm. Find the area of the parallelogram.
- The rhombus (a,d)
Find the area of a rhombus, one side of which measures 20 cm, and one diagonal 24 cm.
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