2 years ago

The length of a rectangle is six times it’s width. If the area of the rectangle is 486 cm^2, find the perimeter.

Mathematics

1 answer:

Leto [7]2 years ago

7 0

Answer:

54 cm is the perimeter I think

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Rufina [12.5K]

Well on this problem recall area of a rectangle is defined by:

A = lw our w = 1/6 and our l = (x + $\frac{2}{3}$ ) we have let 'x' represent our original length.
$(x + \frac{2}{3} )( \frac{1}{6} )= \frac{11}{72}$
$\frac{1}{6} x+ \frac{2}{18} = \frac{11}{72}$
12x + 8 = 11
12x = 11 - 8
12x = 3
x = $\frac{3}{12} = \frac{1}{4}$ So our original length is $\frac{1}{4}$

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