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?

Question

6 Feet squared
42 Feet squared
252 Feet squared
294 Feet squared

Answer 1

To find the area of the actual garden given the scale model size and the scale factor, follow these steps:

1. Calculate the dimensions of the actual garden:

   • The scale model dimensions are 1.5 ft by 4 ft.
   • We apply the scale factor of 7:
     • Length: \(1.5 \text{ ft} \times 7 = 10.5 \text{ ft}\)
     • Width: \(4 \text{ ft} \times 7 = 28 \text{ ft}\)

2. Calculate the area of the actual garden:

   • Area = Length × Width
   • Area = \(10.5 \text{ ft} \times 28 \text{ ft}\)

Now, we can perform the multiplication:

\[ 10.5 \times 28 = 294 \text{ ft}^2 \]

Thus, the area of the actual garden is \(294 \text{ ft}^2\).

The correct answer is 294 Feet squared.