The length of the top of the deck is 12 m
Step-by-step explanation:
The figure in this problem is a rectangle; the area of a rectangle is given by
(1)
where
L is the length
W is the width
In this problem, we know that
is the area of the rectangle
The length is 6 meters longer than the width, therefore
Substituting into (1), we find
And solving for W,
which gives two solutions:
W = -12 (negative, we discard it)
W = 6 m
Therefore, since the width is 6 m,
So, the length is 12 m.
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