The length of a rectangle is 5 inches more than the width. The area is 33 square inches. Find the length and width. Round to the nearest tenth if necessary.

the length and width. Round to the nearest tenth are 8.8 inches and 3.8 inches respectively.

Step-by-step explanation:

The area A of a rectangle is the product of the length L and width W. This may be expressed mathematically as

A = L * W

As such, given that the length is 5 inches more than the width,

L = W + 5

33 = W (W + 5)

W² + 5W - 33 = 0

Using the formula method which states that

s = - b±√ (b²-4ac) / 2a

W = - 5 ± √5² - 4 (1) (-33) / 2

= - 5 ± 12.53/2

= 7.53/2 (since length cannot be negative)

= 3.755 inches

L = 3.755 + 5

= 8.755 inches