Question

The length of Marshall’s rectangular poster is 2 times its width. If the perimeter is 24 inches, what is the area of the poster?

Answer 1

hope it helps you very much

Answer 2

1 inch = 2.54 cm

24 inches = 60.96 cm

Now,

Let the breadth of poster be x.

Then, the length of poster will be 2x.

$.°. \: \: \: 2(x + 2x) = 60.96 \\ \: \: \: \: \: \: \: \: \: \: \: 2x + 4x = 60.96 \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: 6x = 60.96 \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: x = \frac{60.96}{6} = 10.16$

Hence, The width of poster is 10.16 cm

And, the length of poster is 20.32 cm

Again,

$Area \: \: \: \: of \: \: \: \: poster = (10.16 \times 20.32) \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = 206.4512 \: {cm}^{2} \: \: \: \: \: or \: \: \: \: \: 81.28 \: {inches}^{2}$