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?
1.5(7) * 4(7) = 294 ft^2
To find the area of the actual garden, we need to calculate the dimensions of the actual garden first.
The scale factor of 7 means that every dimension of the scale model is multiplied by 7 to get the corresponding dimension of the actual garden.
So, to calculate the dimensions of the actual garden, we multiply each dimension of the scale model by 7.
Length of the actual garden = 1.5 ft × 7 = 10.5 ft
Width of the actual garden = 4 ft × 7 = 28 ft
Now that we have the dimensions of the actual garden, we can calculate its area. The area of a rectangle is given by the formula:
Area = length × width
Plugging in the values:
Area of the actual garden = 10.5 ft × 28 ft = 294 square feet
Therefore, the area of the actual garden is 294 square feet.