Question

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?

Answer 1

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((7)/(5)w +w \right)\qquad P=240\implies 240=2\left((7)/(5)w +w \right) \\\\\\ 120=(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