Question

a rectangle is 5 units more than the side of a square, and width half the side of the square. If the two areas are equal, what are the square's dimensions?

Answer 1

As their areas are same, we will write them as:
A = b*h

A = A
b*h = b* h

(x+5) * (0.5x) = x^2

0.5x^2+ 2.5x = x^2
-0.5x^2 + 2.5x = 0

therefore - factor them..

x = 0
& x = 5

Answer 2

So the dimentions are 5.

Answer 3

thanks for showing your work, helps a lot!!

Answer 4

you welcome! :)