Question

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

17 ft2
41 ft2
103 ft2

Answer 1

`103 ft^(2)`

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=(1*3)/(30*3)=(3)/(90)`

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

`width=(1*5.5)/(30*5.5)=(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(1ft)/(12in)=7.5ft \\165in(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)`

Answer 2

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