Question

40. How many square feet of glass are in the window?A.2 sq ftB.4 sq ftC.16 sq ftD.18 sq ft

Answer 1

The problem wants us to solve for the area of the window.

As we can see the window is in the form of a SQUARE shape with a measurement of 0.25 in for 1/2 the side of the window.

Since 1/2 of the side of the window is 0.25, the full measurement of its side is just times two of its half. Therefore:

Side = 0.25(2) = 0.5 in

And we can see at the bottom of the picture the word SCALE. The SCALE shows the relationship between the measurement of something (in our case a cabin) in a model to the measurement of that something in the real life.

In our case we have a scale of 1 in = 8 ft, it means that 1 inch in the paper is actually 8 feet in real life. Therefore the side of the window which measures 0.5 in. in the paper is actually 4 feet in real life. Because 0.5 inch is half of 1 inch and 4 feet is half of 8 feet. To show it mathematically we have:

`\text{Side}=0.5inch((8ft)/(1inch))=(0.5(8)ft)/(1)=4ft`

Since we now have a side of 4 ft. We can now solve for the area of our SQUARE WINDOW, using the formula of the area of the sqaure which is Area = Side x Side.

`\begin{gathered} \text{Area}=\text{Side}* Side \\ \text{Area}=4ft*4ft \\ \text{Area}=16ft^2 \end{gathered}`

Therefore the area of the window is 16 square feet. LETTER C.