Question

What is the area of the actual garden if the scale model of a rectangular garden is 1 1/2' x 4', and the scale model is enlarged by a scale factor of 7 to create the actual garden?

(A) 6 ft^2
(B) 42 ft^2
(C) 252 ft^2
(D) 294 ft^2

Answer 1

The actual area of the garden is found by multiplying the scale model dimensions by the scale factor of 7 and then calculating the area. The correct answer is (D) 294 square feet.

Step-by-step explanation:

The question is asking for the area of an actual garden that has been scaled up from a smaller scale model. The dimensions of the scale model are 1 1/2 feet by 4 feet, and the garden is enlarged by a scale factor of 7. To calculate the area of the actual garden, we first need to find the actual dimensions of the garden by multiplying the dimensions of the scale model by the scale factor.

Actual length of the garden = 1.5 feet (scale model length) x 7 (scale factor) = 10.5 feet
Actual width of the garden = 4 feet (scale model width) x 7 (scale factor) = 28 feet

Now, to find the area of the rectangular garden, we multiply the actual length by the actual width:

Area = Actual length x Actual width
Area = 10.5 feet x 28 feet
Area = 294 square feet

Therefore, the correct answer is (D) 294 ft2.