Question

Erica wants to build the birdhouse shown. She bought a 29-inch by 45-inch sheet of plywood. Does Erica have enough wood to make the birdhouse? Explain. Find the area of the base and the sides. A(base) = 7x7 = 49 A(sides) = 7x11 = 77 Find the total area. th Total Area = 2x +4x)= 98+=in?

Answer 1

We can divide our birdhouse in 4 rectangles and 2 squares. Each rectangle has measure

and eac square has measure

Then, the total area of our birdhouse is

$\text{Total area=2}\times49+4\times77$

which gives

$\begin{gathered} \text{Total area=98+}308 \\ \end{gathered}$

the birdhouse has an area:

$\text{Total area=}406in^2$

Now, sinde Erica buy a plywood with dimensions 29x45 in^2, she has

$29\times45=1305in^2$

By comparing both numbers, we can see that she have enough wood to make the birdhouse because 1305 in^2 is greater than 406 in^2.