Question

Work out the area of the rectangle

Answer 1

48 cm²

Explanation:

Let's call the width and height of the rectangle w and h.

w / h = 3 / 4

2w + 2h = 28

Solve the system of equations with substitution.

w = 3/4 h

2 (3/4 h) + 2h = 28

3/2 h + 2h = 28

7/2 h = 28

h = 8 cm

So the width is:

w = 3/4 (8)

w = 6 cm

So the area is:

A = wh

A = 48 cm²