Question

A rectangle is 3 times as long as it is wide, and its perimeter is 48 centimeters. Find its dimensions. width cm length cm

Answer 1

The perimeter of a rectangle is defined as,

P = 2(l + w)

P = perimeter

l = length of rectangle

w = width of rectangle.

In our instance,

P = 48 cm

l = 3w

w = w.

Plug our values into the perimeter formula above.

48 cm = 2(3w + w).

Simplify the right side.

48 cm = 2(4w).

Multiply 2 by 4w.

48 cm = 8w.

Divide each side by 8.

6 cm = w.

We know the length is 3 times as much as the width, therefore,

l = 3(6).

Multiply 3 by 6.

l = 18 cm.

The length is 18 cm and the width is 6 cm.