<PRE><B>Question 669198</B>
let L equal the length
let W equal the width
the width is 10 feet less than half the length.
W = L/2 - 10
P = perimeter
P = 2W + 2L
P = 52
2W + 2L = 52
substitute L/2 - 10 for W in this equation to get:
2 * (L/2 - 10) + 2L = 52
simplify to get:
L - 20 + 2L = 52
combine like terms to get:
3L - 20 = 52
add 20 to both sides to get:
3L = 72
divide both sides by 3 to get:
L = 24


you have L = 24
you have W = L/2 - 10 which gets you W = 24/2 - 10 which becomes W = 2


you have L = 24 and W = 2
2L + 2W = 52 which becomes 48 + 4 = 52 so the perimeter is good.
W = L/2 - 10 becomes W = 24/2 - 10 which becomes W = 12 - 10 which becomes W = 2 which is also good.


the measurements checkout so the solution is good.
L = 24
W = 2
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