Draw a parallelogram of area 25 square centimetres and perimeter 24 centimetres.

Given

Area = 25 cm²

Area = 5 cm × 5 cm

That means base of the parallelogram (b) = 5 cm

height of the parallelogram (h) = 5 cm

Perimeter = 24 cm

2 (A + B) = 24 cm

A + B = 12 cm

where A & B are sides of a parallelogram

since base is also a side of a parallelogram.

∴ B = 7 cm

With height and base and side we will draw a parallelogram.

We need to find the value of X

In the above fig. triangle POS is a right- angled triangle with PS as hypotenuse.

PS² = PO² + OS²

7² = X² + 5²

X = √(49-25)

= √24

Using height, sides & X we can draw the parallelogram.