Question

4. How much insulation will Rohan need for the rest of the two rectangular pieces of theroof of the shed?

Answer 1

Hello!

First, we have to calculate the size of each rectangular piece in the roof. Look at the image below to understand it better:

Let's analyze the image:

We know that:

$\begin{gathered} x+8+x=22.1 \\ 2x+8=22.1 \\ 2x=22.1-8 \\ 2x=14.1 \\ x=\frac{14.1}{2} \\ x=7.05 \end{gathered}$

Now that we know the two dimensions of each rectangular piece, we can calculate the areas:

$\begin{gathered} A=7.05\times11 \\ A=77.55\text{ }\mathrm{feet^2} \end{gathered}$

But attention: we have two equal rectangular pieces, so we have to multiply it by two:

$\begin{gathered} A=2\times77.55 \\ A=155.1\text{ }\mathrm{feet^2} \end{gathered}$