Rowen uses a scale factor of 1.5 to make a scale drawing of a square. How does the area of the scale drawing compare to that of the original square? Write your answer in decimal form.(1 point) The area of the scale drawing is times the area of the original.
The scale factor is 1.5, so the area of the scale drawing would be (1.5)^2 = 2.25 times the area of the original square. So, the area of the scale drawing is 2.25.
The scale factor is 1:25, so we need to determine the actual dimensions of the triangle before scaling.
Given that the height of the original triangle is 2 feet and the base is 1 foot, the area of the original triangle is (1/2) * base * height = (1/2) * 1 * 2 = 1 square foot.
Now, applying the scale factor of 1:25 to find the dimensions of the scaled triangle:
Height of scaled triangle = 2 feet * 25 = 50 feet
Base of scaled triangle = 1 foot * 25 = 25 feet
Calculating the area of the scaled triangle:
Area of scaled triangle = (1/2) * base * height = (1/2) * 25 * 50 = 625 square feet
Therefore, the area of the sail in George's scaled drawing is 625 square feet.