SOLUTION: A rectangular deck for a recreation center is 21 feet long by 20 feet wide. Its area is to be halved by subtracting the same distance x from the length and width. Write and solve a
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-> SOLUTION: A rectangular deck for a recreation center is 21 feet long by 20 feet wide. Its area is to be halved by subtracting the same distance x from the length and width. Write and solve a
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Question 548613: A rectangular deck for a recreation center is 21 feet long by 20 feet wide. Its area is to be halved by subtracting the same distance x from the length and width. Write and solve an equation to find the value of x. What are the decks new dimensions? Answer by mananth(16946) (Show Source):
You can put this solution on YOUR website! Length = 21
width =20
area = 420 sq. ft
half the area = 210 sq.ft
(21-x)(20-x)=210
420-21x-20x+x^2=210
x^2-41x+210=0
x^2-35x-6x+210=0
x(x-35)-6(x-35)=0
(x-35)(x-6)
x=6
14&15 ft
