Question

The perimeter of the trapezoid-shaped window frame is $23.59$ feet. Write and solve an equation to find the unknown side length (in feet).

Answer 1

Given: Perimeter $=23.59$ feet

Given sides are $3.65\mathrm{ft},5.62\mathrm{ft},5.62\mathrm{ft}$
Let the unknown side be$=\mathrm{x}$

We know that the perimeter of a figure is equal to sum of all the sides of the figure.

So, for the given figure;
$$\begin{gathered} \Rightarrow 3.65+5.62+5.62+\mathrm{x}=23.59 \\ \Rightarrow 14.89+\mathrm{x}=23.59 \end{gathered}$$

$\Rightarrow \mathrm{x}=23.59–14.89$ [ Subtract $14.89$ from both sides ]
$\therefore \mathrm{x}=8.7$
Hence, the unknown side length is $8.7$ feet.