Question

Give that the perimeter of a parallelogramis 52 inches. Construct al mathematical model to find the length of the longer side of the parrallelogran if the shorter side measures 10 inches

Answer 1

We know that the shorter side measures 10 inches, and the perimeter is 52 inches.

We have to use the perimeter formula

`P=2(w+l)`

Where l = 10 inches, and P = 52 inches. Let's replace these values

`52=2(w+10)`

Now, we solve for w

`\begin{gathered} (52)/(2)=w+10 \\ 26=w+10 \\ w=26-10 \\ w=16 \end{gathered}`

Hence, the longer side measures 16 inches.