SOLUTION: A rectangular patio is 12 feet long and 8 feet wide. The owner wants to increase both dimensions by the same amount resulting in a patio that has an area of 221 sq. ft. Write and

Question 552394: A rectangular patio is 12 feet long and 8 feet wide. The owner wants to increase both dimensions by the same amount resulting in a patio that has an area of 221 sq. ft. Write and solve an equation to find out how much the owner should increase each dimension.
Answer by mananth(16946) (Show Source): You can put this solution on YOUR website!
width =8
length = 12
increase both by same amount x
8 +x & 12 +x
Area = L*W
Area = 221 sq. ft
221= (8+x)(12+x)
221 = 96 +8x+12x+x^2
221-96=x^2+20x
125=x^2+20x
x^2+20x-125=0
x^2+25x-5x-125=0
x(x+25)-5(x+25)=0
(x+25)(x-5)=0
x=5 OR -25
neglect the negative
x= 5 the width increase
m.ananth@hotmail.ca

RELATED QUESTIONS
A fishpond is 12 meters long by 8 meters wide. The owner wants to double the are of the... (answered by macston)

how would you solve this word problem? Bob has a garden that is 9 feet long by 6 feet... (answered by richwmiller)

The dimensions of a room are 20 feet long, 12 feet wide, and 8 feet high. Gary wants to... (answered by TimothyLamb)

a manufacturer wants to enlarge an existing manufacturing facility such that the total... (answered by checkley77)

A manufacturer wants to enlarge an existing manufacturing facility such that the total... (answered by Fombitz)

a garden is 11 feet by 18 feet is surrounded by a patio that is 6 feet wide all around.... (answered by richwmiller)

Lawrence is increasing his rectangular patio in his backyard. His patio is currently 12... (answered by josgarithmetic,greenestamps,mananth,MathTherapy,ikleyn,math_tutor2020)

Lawrence is increasing his rectangular patio in his backyard. His patio is currently 12... (answered by josgarithmetic,MathLover1,math_tutor2020,ikleyn)

A rectangular turtle pen is 6 feet long by 4 feet wide. The pen is enlarged by... (answered by ankor@dixie-net.com)