SOLUTION: A rectangle has a length that is 5 feet more than its width. The area of this rectangle is 84 square feet. What is the width and length of this rectangle?

Question 663506: A rectangle has a length that is 5 feet more than its width. The area of this rectangle is 84 square feet. What is the width and length of this rectangle?
Answer by fxa101(1) (Show Source): You can put this solution on YOUR website!
let x= length
y = width = x - 5
A= Area of Rectangle
Formula: Area of Rectangle = length x width
84 = (x)(x - 5)
84 = x2 - 5x
Transpose 84 to the other side and get:
x2 -5x-84 = 0
Factor or by using quadratic formula, and get:
(x-7) = 0 (x-12) = 0: Both gives correct answer but we will use x-12:
Therefore;
x = 12
and y = x-5 = 7
Checking:
Area = length x width
= (12 feet)(7 feet)
= 84 square feet

RELATED QUESTIONS
A rectangle has a length that is 5 feet more than its width. The area of this rectangle... (answered by radh)

A rectangular room has an area of 84 square feet. Its width is 9 more than 3 times the... (answered by checkley77,advedantatutor)

The width of a rectangle is 5 feet less than its length. Find the dimensions of the... (answered by josgarithmetic)

a rectangle has a width 5 feet shorter than the length. the area of the rectangle is 14... (answered by algebrahouse.com,ewatrrr)

The length of a rectangle is four feet more than twice its width. If the area of the... (answered by Fombitz,MathTherapy)

A rectangle has a length that is 3 feet more than the width. If the area of the rectangle (answered by josgarithmetic,MathTherapy)

A rectangle's width is 5 feet less than its length. If the area of the rectangle is 546... (answered by kibauu)

The width of a rectangle is 5 feet more than its length. The area of the rectangle is 36... (answered by richwmiller)

The length of a rectangle is 5 more than its width. The area of the rectangle is 104... (answered by ewatrrr)