Question

If a dilated rectangle has dimensions of 25' by 30', what is the area of the original rectangle if its longest side is 6'? A. 5 sq ft B. 11 sq ft C. 30 sq ft D. 750 sq ft

Answer 1

The area of the original rectangle is 30 sq ft.

Therefore, option C is correct.

Step-by-step explanation:

To find the area of the original rectangle, we need to determine the scale factor between the dilated rectangle and the original rectangle. The scale factor is found by dividing the corresponding side lengths. In this case, the longest side of the dilated rectangle is 30' and corresponds to a side length of 6' in the original rectangle. So the scale factor is 30/6 = 5.

The area of the dilated rectangle is 25' * 30' = 750 sq ft.

To find the area of the original rectangle, we divide the area of the dilated rectangle by the square of the scale factor.

Therefore, the area of the original rectangle is 750 sq ft / 5^2 = 750 sq ft / 25 = 30 sq ft.

Learn more about Areas of Rectangles