SOLUTION: 1.) Mary Anne Young has enough grass sees to cover 400 square feet. She wishes to grow grass on a rectangular area that is 9 feet longer than it is wide. What dimensions should the

Question 420614: 1.) Mary Anne Young has enough grass sees to cover 400 square feet. She wishes to grow grass on a rectangular area that is 9 feet longer than it is wide. What dimensions should the area have?

2.) Paul and Joan Rice wish to buy floor covering that covers 150 square feet for their large recreation room. They wish to cover a rectangle that is 5 feet longer than it is wide. How wide should the rectangle be?
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
1.) Mary Anne Young has enough grass seeds to cover 400 square feet.
She wishes to grow grass on a rectangular area that is 9 feet longer than it is wide. What dimensions should the area have?
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width = x
length = x+9
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Area = x(x+9)
400 = x^2+9x
---
Solve for "x":
x^2+9x-400 = 0
(x+25)(x-16) = 0
Positive solution:
x = 16 ft. (width)
x+9 = 25 ft. (length)
==========================
2.) Paul and Joan Rice wish to buy floor covering that covers 150 square feet for their large recreation room. They wish to cover a rectangle that is 5 feet longer than it is wide. How wide should the rectangle be?
---
Same procedure as used on problem #1.
Cheers,
Stan H.
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