Question

The scale model of a rectangular garden is 1.5 ft by 4 ft. The scale model is enlarged by a scale factor of 7 to create the actual garden. What is the area of the actual garden?

6 ft2

42 ft2

252 ft2

294 ft2

Answer 1

294 ft2

Explanation:

Answer 2

It is given that the scale model of a rectangular garden is 1.5 ft by 4 ft. The scale model is enlarged by a scale factor of 7 to create the actual garden.

Therefore, we can see clearly that the width of the scale model is 1.5 feet. Hence, the width of the actual garden which has been enlarged by a scale factor of 7 will be 7 times the width of the scale model.

Thus the width of the actual garden will be:
`1.5* 7=10.5` feet

In a similar fashion the length of the actual garden will be
`4* 7=28` feet

Thus, the area of the actual garden will be:

`Area=Length* width=10.5* 28=294`
`ft^2`

As we can see, out of the given options, the last option is the correct one.