The sides of a rectangle are in the ratio 4: 7. if its length is 31.5 in., find the width, the perimeter, and the area of this rectangle.

Width is 18 inches

Perimeter is 99 inches

Area is 567 square inches

Step-by-step explanation:

The ratio of width to length is 4 : 7

The length is 31.5 inches

The width = (31.5 ×4) ÷ 7 = 18 inches

Perimeter = 2(length + width)

Perimeter = 2(31.5 + 18) inches = 99 inches

Area =length × width

Area = 31.5 inches  × 18 inches = 576 square inches.

it's equivalent, so we can say that its equal.

let's call the denominator x and the numerador is 18 less then denominator, x - 18.

multiply

2.x = 5.(x - 18)

2x = 5x - 90

90 = 5x - 2x

90 = 3x

x = 90/3

x = 30

so: