Question

Best Backyards is building a rectangular deck for a customer. The customer wants the perimeter to be 40 meters and the difference between Twice the length and twice the width to be 4 meters. What will be the length and width of the deck?
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Answer 1

Answer:

$\displaystyle 9\:metres\:wide \\ 11\:metres\:long$

Step-by-step explanation:

{−2w + 2l = 4

{40 = 2w + 2l

__________

$\displaystyle \frac{44}{4} = \frac{4l}{4}$

$\displaystyle 11 = l$[Plug this back into both equations above to get the width of 9 metres]; $\displaystyle 9 = w$

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