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4vir4ik [10]
3 years ago
6

The length of a rectangle field if 7/5 of its width. if the perimeter of the field is 240 meters, what are the length and width

of the field?
Mathematics
1 answer:
trasher [3.6K]3 years ago
7 0
Perimeter of any figure is all its sides summed up

for a rectangle, with two equal pairs, that means, length + length + width + width or   2length + 2width, or  2(length + width)

but we know the length is 7/5 the width

width = w
perimeter = P


\bf P=2\left(\frac{7}{5}w +w \right)\qquad P=240\implies 240=2\left(\frac{7}{5}w +w \right)
\\\\\\
120=\frac{7}{5}w +w\impliedby \textit{let's multiply both sides by 5}
\\\\\\
600=7w+5w\implies 600=12w\implies \cfrac{600}{12}=w

and the length is 7/5 of that
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