We are given lengths of sides of the rectangle = 4:7.
Longer side is 31.5 inches.
Let us assume width be x.
Setting proportion, we get
![\frac{x}{31.5} =\frac{4}{7}](https://tex.z-dn.net/?f=%5Cfrac%7Bx%7D%7B31.5%7D%20%3D%5Cfrac%7B4%7D%7B7%7D)
On cross multiplication, we get
7x = 31.5 × 4
7x = 126.
Dividing both sides by 7, we get
7x/7 = 126/7
x = 18.
<h3>Therefore, width = 18 inches.</h3><h3>Perimeter = 2( length + width) = 2(31.5+18) = 2 (49.5) = 99 inches.</h3><h3>Area = Length × Width = 31.5 × 18 = 567 square inches.</h3>