SOLUTION: the length of a rectangle is twice its width if the length decreases by 6cm and the width increases by 5 cm the rectangle becomes a square find the area of the rectangle

Algebra.Com
Question 747617:
the length of a rectangle is twice its width if the length decreases by 6cm and the width increases by 5 cm the rectangle becomes a square find the area of the rectangle

Answer by checkley79(3341)   (Show Source): You can put this solution on YOUR website!
L=2W
(L-2)=(W+5)
(2W-2)=(W+5
2W-W=5+2
W=7 ANS.
L=2*7 ANS FOR THE RECTANGLE.
L=14 ANS. FOR THE RECTANGLE.
PROOF:
14-2=7+5
12=12 MAKES IT A SQUARE.
AREA=7*14=98 cm. IS THE AREA OF THE RECTANGLE.

RELATED QUESTIONS

the dimensions of a rectangle are such that its length is 5 inches more than its width.... (answered by stanbon)
If the length of a rectangle increases by 2 cm, its area will increase by 12 cm2. If the... (answered by josgarithmetic,ikleyn)
The width of a rectangle is 5 cm. If its length is twice its width, find its... (answered by Alan3354)
the length of a rectangle is 6cm and the width 3 cm. if both are increased by the same... (answered by Horlaye)
The area of a rectang;e is 70. If the length is one less than 3 times the width,find the... (answered by ewatrrr)
the length of a certain rectangle is 4 cm longer than its width. if the width were... (answered by ankor@dixie-net.com)
The length of a rectangle is twice its width. If the width is reduced by 1 cm and the... (answered by Manan28IN,mananth)
If the length of a rectangle is decreased by 2 inches and its width is increased by 2... (answered by ankor@dixie-net.com)
the length of a rectangle is 5cm less than twice its width . if the length is decreased... (answered by macston)