SOLUTION: a mason builds two patios with the same area. One is a square and the other is a rectangle 10m longer but 8m shoter width than the sqaure what is the area of each patio? A.write

Algebra ->  Algebra  -> Polynomials-and-rational-expressions -> SOLUTION: a mason builds two patios with the same area. One is a square and the other is a rectangle 10m longer but 8m shoter width than the sqaure what is the area of each patio? A.write       Log On

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Question 23215: a mason builds two patios with the same area. One is a square and the other is a rectangle 10m longer but 8m shoter width than the sqaure what is the area of each patio?
A.write an equation on info given
b. solve and answer question asked
Answer by rapaljer(4551) About Me  (Show Source):
You can put this solution on YOUR website!
Let x = side of the square
x+10 = length of the rectangle
x-8 = width of the rectangle

Area of Square = Area of Rectangle
x%5E2+=+%28x%2B10%29%28x-8%29+
x%5E2+=+x%5E2+%2B+2x+-+80

Subtract x%5E2 from each side.

0=+2x+-+80+
80=2x
x=40 meters

Check:
Area of square = x%5E2+=+40%5E2+=+1600+m%5E2
Area of rectangle = %28x%2B10%29%2A%28x-8%29+=+50%2A32+=+1600+m%5E2

R^2 at SCC