Question

A rectangular table is four times as long as it is wide. If the area is 36 ft2, find the length and the width of the table.

Answer 1

The width is 3,then the length is 4x3=12

Answer 2

The width is 3 ft

The length is 12 ft

Explanation:

Let w = width

l = 4w

A = l*w

Replace length with 4w

A = 4w*w

36 = 4 w^2

Divide each side by 4

36/4 = 4w^2/4

9 = w^2

Take the square root of each side

sqrt(9) = sqrt(w)

3 =w

The width is 3 ft

The length is 4*3 = 12 ft