Question

The perimeter of a rectangle is 78 inches. The width is "w" and the length is 2x+3. Find the width and the length of the rectangle.

Answer 1

width = 12 Inches

length = 27 Inches

Explanation:

Perimeter of Rectangle Formula is 2(l+w), Therefore,

2(l+w)=78 inches (Equation 1)

l= 2x+3 (Equation 2)

Let width be x

Putting width as x and l as 2x+3 in equation 1

2(2x+3+x)=78

2(3x+3)=78

6x+6=78

6x=72

x=12

Putting width=>x =12 inches in equation 2 to find the length

l=2(12)+3

l=27 inches