SOLUTION: A square and a rectangle have the same area. The length of the rectangle is 9 inches more than twice the length of the side of the square. The width of the rectangle is 6 inches le
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Question 1169318: A square and a rectangle have the same area. The length of the rectangle is 9 inches more than twice the length of the side of the square. The width of the rectangle is 6 inches less than the side of the square. Select the expression that represents the area of the square and another expression that represents the area of the rectangle?
(x-6)(2x+9)
(x)(x)
x(2x+9)
x(x-6)
Answer by Boreal(15235) (Show Source): You can put this solution on YOUR website!
x is length of side of a square and x*x or x^2 is the area.
width of rectangle ix (x-6) and length is (2x+9), so the area is (x-6)(2x+9)
Can check this
area of rectangle is 2x^2-3x-54=x^2 area of square
x^2-3x-54=0
(x-9)(x+6)=9
x=9 in
so area of square is 81 in^2
sides of rectangle are 3 in and 27 in and its area is 81 in^2.
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