Question

If the perimeter of this quadrilateral is 79 inches, what is the measure of the missing side length in inches?77 in52 in.28 in.27 in.

Answer 1

The quadrilateral has 4 sides

Three of them are 2 ft, 13 in., and 15 in.

At first, we have to change the side with feet to inches

Since 1 foot = 12 inches, then

`2ft=2*12=24in.`

The perimeter of the quadrilateral is the sum of the lengths of the 4 sides

`P=s_1+s_2+s_3+s_4`

Since

`\begin{gathered} P=79 \\ s_1=13 \\ s_2=15 \\ s_3=24 \end{gathered}`

Substitute them in the rule above

`\begin{gathered} 79=13+15+24+s_4 \\ 79=52+s_4 \end{gathered}`

Subtract 52 from both sides

`\begin{gathered} 79-52=52-52+s_4 \\ 27=s_4 \end{gathered}`

The length of the missing side is 27 inches

The answer is the last choice