Question 1075932
The perimeter of a rectangular cutting board is 48 inches.
2L + 2w = 48
simplify, divide by 2
L + w = 24
L = -w + 24, use this form for substitution
 The area is 135 square inches.
 L * w = 135
replace L with (-w+24)
(-w+24) * w = 135
-w^2 + 24w - 135 = 0
Multiply by -1 
w^2 - 24w + 135 = 0
You can use the quadratic formula; a=1;=-24;c=135, but this will factor to
(w-9)(w-15) = 0
two solution
w = 9, then L = 15
w = 15, then L = 9
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Check this
2(15) + 2(9) = 48
15 * 9 = 135
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 What are the dimensions of the cutting board?  15 by 9