SOLUTION: The perimeter of a rectangle is 34 inches, and its area is 70 square inches. Find the length and width of the rectangle.
Algebra.Com
Question 675212: The perimeter of a rectangle is 34 inches, and its area is 70 square inches. Find the length and width of the rectangle.
Answer by checkley79(3341) (Show Source): You can put this solution on YOUR website!
P=2L+2W
P=34
34=2L+2W
2L=-2W+34
L=-2W/2+34/2
L=-W+17
A=LW
70=(-w+17)W
70=-W^2+17W
W^2-17W+70=0
(W-10)(W-7)=0
W-10=0
W=10 ANS. & LENGTH IS 7.
W-7=0
W=7 ANS. & LENGTH IS 10.
PROOF:
34=2*7+2*7
34=14+20
34=34
70=7*10
70=70
RELATED QUESTIONS
the perimeter of a rectangle is 38 inches and its area is 70 square inches. find the... (answered by josgarithmetic)
the perimeter of a rectangle is 30 inches, and its area is 56 square inches .find the... (answered by hheuler)
The perimeter of a rectangle is 34 inches, and the area is 60 square inches. What is the... (answered by sofiyac)
Solve algebraically using one variable: The perimeter (distance around) of a rectangle is (answered by scott8148)
Solve algebraically using one variable: The
perimeter (distance around) of a rectangle (answered by jim_thompson5910)
If the perimeter of a rectangle is 104 inches and the length of the rectangle is 6 inches (answered by mananth)
The perimeter of a rectangle is 34 inches, and its area is 104 square inches. Find the... (answered by cleomenius)
The perimeter of a rectangle is 44 inches and its area is 112 square inches. Find the... (answered by stanbon)
The area of a rectangle is 18 square inches. The length of the rectangle is twice its... (answered by BurningFlame_marc)