Question 665644
Given
p = 114 = 2l + 2w
a = 56 = (l)(w), which is the same as l = {{{56/w}}}
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Substitute the second equation into the first
2{{{56/w}}} + 2w = 114
{{{112/w}}} + 2w = 114
Multiply the entire equation by w
112 + 2{{{w^2}}} = 114w
2{{{w^2}}} - 114w + 112 = 0
Factor
(2w-112)(w-1)
2w-112=0, so w = 56
w-1=0, so w=1
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Dimensions are {{{highlight(56)}}}m by {{{highlight(1)}}}m
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Check {{{cartoon(
a = (56)(1),
a = 56)}}}
{{{cartoon(
p = 2(1) + 2(56),
p = 2 + 112,
p = 114)}}}
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