Question

The areas of rectangle and a square are equal. If the length of the rectangle is 16cm and breadth is 9cm, find the length of the side of the square

Answer 1

The length of side of the square (a) = 8 cm

Step-by-step explanation:

Let length of side of a square = a cm

Dimensions of a rectangle:

Length (l) = 16 cm

breadth (b) = 4 cm

Now ,

According to the problem given,

Area of the square = Area of the rectangle

=> a² = l×b

=> a² = 16 cm × 4 cm²

=> a² = 64 cm²

=> a² = (8 cm )²

=> a = 8 cm

Therefore,

The length of side of the square (a)= 8 cm