SOLUTION: Please help me solve this problem: Valerie needs to to put a fence around her pool and deck. The area to be fenced is rectangular in shape such that the length is 2 feet longer tha
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Question 1018243: Please help me solve this problem: Valerie needs to to put a fence around her pool and deck. The area to be fenced is rectangular in shape such that the length is 2 feet longer than the width. If she needs a total of 140 feet of fencing, what are the dimensions (length and width) of the area to be fenced?
Found 2 solutions by josgarithmetic, josmiceli:
Answer by josgarithmetic(39617) (Show Source): You can put this solution on YOUR website!
w for width, L for length;
Perimeter is given 140, so equation for it is . Simplified, this becomes .
Described and put symbolically also, .
Solve the system, .
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
Let = length of pool and deck in feet
Let = width of pool and deck in feet
given:
(1)
The formula for perimeter is:
(2)
Substitute (1) into (2)
(2)
(2)
(2)
You are given that ft
(2)
(2)
(2)
and
(1)
(1)
(1)
The dimensions are: 34 x 36 ft2
----------------------------
check:
OK
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