The sides of a rectangle are in the ratio of 5:6. If its longer side is 7.2 in., find the shorter side, the perimeter, and the area of this rectangle.

The shorter side is 6.

The perimeter is 26.4 inches.

The area is 43.2 inches

Step-by-step explanation:

The ratio 5;6 and the given longer side is 7.2 in.

Since it is the longer side, the '6' in the ratio is 7.2 in.

Let x be the shorter side

5:6 = x : 7,2

Divide 7.2 to 6.

7.2 ÷ 6 = 1.2

Then multiply 1.2 to 5.

1.2 * 5 = 6

So the shorter side is 6.

L = 7.2

W = 6

Now to find the perimeter, let's use the formula

P = 2L + 2W

Let's put the values in the formula

P = 2(7.2) + 2(6)

P = 14. 4 + 12

P = 26.4

The perimeter is 26.4 inches

To find the area, let's use the formula

A = LW

A = (7.2)(6)

A = 43. 2 inches

step-by-step explanation: