Question

The length of a rectangle is 5 inches longer than it is wide. If the area is 84 square inches, what are the
dimensions of the rectangle?
The width, or shorter side is i inches
Enter an integer or decimal number (more..
inches
The length, or longer side is

Answer 1

Answer:

b = 7 inches and l = 12 inches

Step-by-step explanation:

Given that,

The area of a rectangle, A = 84 sq inches

Let the width is b.

Length = (5+b)

The area of a rectangle is given by :

A = lb

So,

$84=b\times (5+b)\\\\b^2+5b-84=0\\\\(b-7)(b+12)=0\\\\b=7\ in, b =-12\ in$

Neglecting negative value,

b = 7 inches

Length, l = 5+b = 5+7

l = 12 inches