SOLUTION: Ok a square and rectangle have the same area .the length of the rectangle is five inches more than twice the length of the side of the square. The width of the rectangle is six inc

Algebra ->  Rectangles -> SOLUTION: Ok a square and rectangle have the same area .the length of the rectangle is five inches more than twice the length of the side of the square. The width of the rectangle is six inc      Log On


   

Question 912000: Ok a square and rectangle have the same area .the length of the rectangle is five inches more than twice the length of the side of the square. The width of the rectangle is six inches less than the side of the square. Find the length of the side of the square ?
Need help ASAP plz and thank u
Ps I'm not sure if this is a geometry question I have a mathematics 1B course
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
This can be considered an algebra question and a geometry question.

w, rectangle width
L, rectangle length
x, side length of the square

FACTS
wL=x%5E2;
L=5%2B2x;
w=-6%2Bx.

METHOD

Use substitution for L and w in the area equation, and solve for x; use this to evaluate L and w.

%28x-6%29%282x%2B5%29=x%5E2
2x%5E2-12x%2B5x-30=x%5E2
x%5E2-7x-30=0
%28x%2B3%29%28x-10%29=0
The choice of solution for x that makes sense is highlight%28x=10%29
...
Continue...