Question

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.

Answer 1

shorter side= 6

p= 26.4

a= 43.2

Explanation:

Answer 2

The shorter side is 6.

The perimeter is 26.4 inches.

The area is 43.2 inches
`^(2)`

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
`^(2)`