Question

The length of a rectangle is four times its width.

The rectangle has an area of 1024 cm².
Work out the width of the rectangle.

Answer 1

width=16cm

Explanation:

to get all 3 marks

Answer 2

Width of the rectangle is 16 cm

Explanation:

• Step 1: Let the width of the rectangle be x. Then length = 4x. Find width.

Area of the rectangle = length × width

⇒ 1024 = x × 4x

⇒ 4x² = 1024

⇒ x² = 1024/4 = 256

⇒ x = √256 = 16