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

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

Explanation:

{−2w + 2l = 4

{40 = 2w + 2l

__________

`\displaystyle (44)/(4) = (4l)/(4)`

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

I am joyous to assist you anytime.