SOLUTION: The length of a rectangle is the same as the length of each side of a square. The length of the rectangle is 4cm more than 3 times the width of the rectangle. The area of the squa

Algebra ->  Absolute-value -> SOLUTION: The length of a rectangle is the same as the length of each side of a square. The length of the rectangle is 4cm more than 3 times the width of the rectangle. The area of the squa      Log On


   

Question 1077379: The length of a rectangle is the same as the length of each side of a square.
The length of the rectangle is 4cm more than 3 times the width of the rectangle. The area of the square is 66cm^2 more than the area of the rectangle.
Find the length and the width of the rectangle.
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
RECTANGLE
Dimensions L and w
-
L=3w%2B4
and
area is wL=w%283w%2B4%29


SQUARE
Dimensions L by L
-
Area is L%2AL=%283w%2B4%29%5E2
and
according to description, highlight_green%28%283w%2B4%29%5E2-w%283w%2B4%29=66%29.
Simplify and solve this equation for w. Use this to evaluate length, L, of the rectangle (the width being w.)