SOLUTION: a rectangle has length x+5 and width x-7. Find the area, A, of the rectangle in terms of x.

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: a rectangle has length x+5 and width x-7. Find the area, A, of the rectangle in terms of x.       Log On


   



Question 151302: a rectangle has length x+5 and width x-7. Find the area, A, of the rectangle in terms of x.

Answer by nerdybill(7384) About Me  (Show Source):
You can put this solution on YOUR website!
a rectangle has length x+5 and width x-7. Find the area, A, of the rectangle in terms of x.
.
Since we know that for any rectangle:
area = length * width
.
The problem gives us:
length = (x+5)
width = (x-7)
area = A
.
Plug the above into:
area = length * width
A = (x+5)(x-7)
Applying "FOIL" to the right side:
A = x^2 - 7x + 5x - 35
A = x^2 - 2x- 35 (this is what they are looking for)