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

Question 1166473: The length of a rectangle is the same as the length of each side of a square.
The length of the rectangle is 4 cm more than 3 times the width of the rectangle.
The area of the square is 66 cm 2 more than the area of the rectangle.
Find the length and the width of the rectangle. You
must show all your working.

Found 2 solutions by Boreal, josgarithmetic:
Answer by Boreal(15235) (Show Source): You can put this solution on YOUR website!
rectangle is s wide and 3s+4 long units cm
Side of square is 3s+4
area of square is 9s^2+24s+16
area of rectangle is 3s^2+4s
therefore, 3s^2+4s+66=9s^2+24s+16
0=6s^2+20s-50=3s^2+10s-25
(3s-5)(s+5)=0
s=5/3 cm
square is 9 cm on a side or 81 cm^2
rectangle ia 9 cm long and 5/3 cm wide or area 15 cm^2
Answer by josgarithmetic(39617) (Show Source): You can put this solution on YOUR website!
L, the length of the rectangle and the length of each side of the square
w, the width of the rectangle

After drawing and labeling, you should be able to form these:

Solve this system.
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.
Substitution and simplification, ;

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