Question

The perimeter of a rectangle is 32 cm and its length is 6 cm. Find the area of the rectangle.

Answer 1

Given: Perimeter P = 32 cm, Length l = 6 cm.

Step-wise calculation:

1. Perimeter of a rectangle:

P = 2(l + w)

2. Substitute P = 32 and l = 6:

32 = 2(6 + w)

3. Divide by 2:

16 = 6 + w

4. Solve for width:

w = 16 – 6

= 10 cm

5. Area:

A = l × w 

= 6 × 10

= 60 cm²

The area of the rectangle is 60 cm².