Question

What is the area of the actual living room in square feet? Round your answer to the nearest whole number.

Answer 1

Area = 5.5in x 3in = (5.5 x 30)in x (3 x 30)in = 165in x 90in = (165/12)ft x (90/12)ft = 13.75ft x 7.5 ft = 103 ft^2

Answer 2

Answer:

$103 ft^{2}$

Step-by-step explanation:

The dimensions of the figure are 3in x 5.5 in.

However, it's represented with an scale of 1:30, which means that the real representation of each dimension would be

$length=\frac{1\times3}{30\times3}=\frac{3}{90}$

So, the real length is 90 inches per 3 inches on the map.

$width=\frac{1\times5.5}{30\times5.5}=\frac{5.5}{165}$

This means that the real width is 165 inches per 5.5 inches on the map.

If we transform each dimension to feet, we would have

$90in\frac{1ft}{12in}=7.5ft \\165in\frac{1ft}{12in}=13.75ft$

Now, the area the rectangle is defined as

$A=wl$

Where $w$ is width and $l$ is length.

Using this measures in feet units, we have

$A=(7.5ft)(13.75ft)\approx 103 ft^{2}$

Therefore, the right answer is the last choice $103 ft^{2}$