SOLUTION: One side of a rectangle is (2x - 3) metres. The perimeter of the rectangle is 50 metres. (a) Show that the area, A, of the rectangle is given by

Algebra ->  Rectangles -> SOLUTION: One side of a rectangle is (2x - 3) metres. The perimeter of the rectangle is 50 metres. (a) Show that the area, A, of the rectangle is given by       Log On


   

Question 255639: One side of a rectangle is (2x - 3) metres.
The perimeter of the rectangle is 50 metres.
(a) Show that the area, A, of the rectangle is given by

A=62x-84-4x(squared)
The area of the rectangle is 126m(squared)
Answer by richwmiller(17219) About Me  (Show Source):
You can put this solution on YOUR website!
2*(2x-3)+2W=50
4x-6+2W=50
2w=50+6-4x
w=25+3-2x
width=w=28-2x
length=2x-3
A=62x-84-4x^2
-2(x-14)*(2x-3)
(2x-3)*(-2)*x-14)
(2x-3)(-2x+28)
(2x-3)(28-2x)
length=2x-3
width =28-2x
They are equal therefore A=62x-84-4x^2