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
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?
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.
