Question

ratio of a rectangle's length to its width is 4:7. If the longer side is 31.5in., find the width, the perimeter, and the area of this rectangle.

Answer 1

Explanation:

Ratio of length : width = 4 : 7

Length = 4x

Width = 7x

Longer side = 31.5 in

⇒ 7x = 31.5

Divide both sides by 7

x = 31.5/7

x = 4.5

length = 4x

= 4*4.5

l = 18 in

width = 31.5

w = 31.5 in

`\boxed{ \text {Perimeter of rectangle }= 2*l + 2*w}`

= 2*18 + 2*31.5

= 36 + 63

= 99 in

`\boxed{ \text{Area of rectangle = l*w}}`

= 18*31.5

= 567 in²