SOLUTION: A fishpond is 12 meters long by 8 meters wide. The owner wants to double the are of the pond by increasing the length and width by the same amount. By how much should the length an

Question 985024: A fishpond is 12 meters long by 8 meters wide. The owner wants to double the are of the pond by increasing the length and width by the same amount. By how much should the length and width be increased?
Answer by macston(5194) (Show Source): You can put this solution on YOUR website!
L=original length=12 meters; W=original width=8 meters; X=increase in size
Original Area=LW=(12m)(8m)=96m^2
New area =2(Original Area)=2(96m^2)=192m^2
.
(L+X)(W+X)=192m^2
(12m+X)(8m+X)=192M^2
X^2+20X+96=192
x^2+20X-96=0
(x+24)(x-4)=0
x+24=0 or x-4=0
x=-24m or x=4m
Since x=-24m doesn't make sense,
x=4 meters is the increase in lenght and width.
.
CHECK:
(L+X)(W+X)=2LW
(12m+4m)(8m+4m)=2(12m)(8m)
(16m)(12m)=2(96m^2)
192m^2=192m^2
RELATED QUESTIONS
Martha's garden is 5 m wide and 8 m long. Next year she plans to double the garden's area (answered by josgarithmetic)

The owner of a rectangular lot 12 m by 15 m wants to double the size of the lot by... (answered by ikleyn)

Ben owns a fishpond whose length is 4 meters more than the width. A path of 2 meters... (answered by josgarithmetic)

Joe's rectangular garden is 6 meters long and 4 meters wide. He wishes to double the area (answered by macston)

Joe's rectangular garden is 6 meters long and 4 meters wide. He wishes to double the area (answered by ankor@dixie-net.com)

A gareen is currently 4 m wide and 7 m long. If the area of the garden is to be doubled... (answered by RAY100,checkley75)

A fishpond has a diameter of 6m. The owner wants to cement the bottom. How many square... (answered by Alan3354)

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

A garden is currently 4 meters wide and 7 meters long. If the area of the garden is to be (answered by checkley79)