Question

The perimeter of a rectangle is 60 cm. The ratio of length to width is 3:2. Find the length and width of the rectangle.

Answer 1

See below.

Step-by-step explanation:

The perimeter = 2*length + 2 * width.

As the ratio is 3:2 the fraction 3 / (3 +2) is used to find the length:

The measure of the 2 lengths = 3/ (3+2) * 60

= 3/5 * 60

= 36 cm

So the measure of the length = 18 cm

So the measure of the width = (60 - 36) / 2

= 24/2

= 12 cm.

Answer 2

Answer: L = 18 and W = 12

Step-by-step explanation:

Find the semi rectangle:

60/2 = 30

Now we can find the length and width using the semi rectangle:

L = 30 x 3/5 = 18

W = 30 x 2/5 = 12