Question

The length of a rectangle is four times its width

the rectangle has an area of 1024cm squared

Work out the WIDTH of the rectangle

Answer 1

16 cm

Explanation:

If W is the width of the rectangle, then the length is ...

L = 4W

The area is the product of length and width:

A = LW

1024 cm² = (4W)(W) = 4W² . . . . substitute for L

256 cm² = W² . . . . . . . . divide by 4

16 cm = W . . . . . . . . take the square root

The width of the rectangle is 16 cm.