1. ## Find the dimensions

A rectangle & a square both have a width of x, but the rectangle’s length is (x+6). Together their areas equal 176m^2. What are the dimensions of both ?

2. Originally Posted by ohhhxlex
A rectangle & a square both have a width of x, but the rectangle’s length is (x+6). Together their areas equal 176m^2. What are the dimensions of both ?
The area of the square is

$A_s=x^2$

The area of the rectangle is

$A_r=x(x+6)=x^2+6x$

And we know that there total area is

$A_s+A_r=176$

$x^2+x^2+6x=176 \iff 2(x^2-3x-88)=0 \iff 2(x+11)(x-8)=0$

So we reject the negative solution (why?)

and get $x=8$