Question

The ratio of the side lengths of a quadrilateral is 5:2:4:7, and its perimeter is 90 meters. What is the length of the longest side?

Answer 1

Answer:

35 meters.

Explanation:

The ratio of the side lengths of the quadrilateral are:

$\begin{gathered} 5\colon2\colon4\colon7 \\ 5+2+4+7=18 \end{gathered}$

The perimeter of the figure is 90 meters. Therefore, the length of the longest side will be:

$\begin{gathered} =\frac{7}{18}\times90 \\ =7\times5 \\ =35m \end{gathered}$

The length of the longest side is 35 meters.