Question

The length of a rectangle is 3 times its width. If the perimeter is 32 centimeters, find
the length and the width.

Answer 1

Answer:

Lenght = 12 cm

Width = 4 cm

Step-by-step explanation:

Let the width of the rectangle be x cm.

Therefore, length = 3x

$\because \: P(rectangle) = 2 (length + width) \\ \therefore \: 32 = 2(3x + x) \\ \therefore \: 32 =2 \times 4x \\ \therefore \: 32 =8x \\ \\ \therefore \: x = \frac{32}{4} \\ \\ \therefore \: x = 4 \: cm \\ \therefore \: 3x = 3 \times 4 = 12 \: cm \\ \implies \\ length \: of \: rectangle = 12 \: cm \\ width \: of \: rectangle = 4 \: cm$