A triangle flag has a height of 15 inches and a base of 25 inches. Magnolia makes a scale drawing of the flag in which the base length is 19 inches. What is the area of Magnolia’s scale drawing?

Answer 1

To find the area of Magnolia's scale drawing, we first need to calculate the scaling factor used to go from the actual dimensions to the scaled dimensions.

Scaling factor = Scaled dimension / Actual dimension

In this case, the actual base length is 25 inches and the scaled base length is 19 inches.

Scaling factor = 19 / 25
≈ 0.76

Now, we can use the scaling factor to find the scaled height.

Scaled height = Scaling factor x Actual height
= 0.76 x 15 inches
≈ 11.4 inches

Now that we have the scaled height and base, we can calculate the area of the scaled drawing of the triangle.

Area = 1/2 x base x height
= 1/2 x 19 inches x 11.4 inches
≈ 108.3 square inches

Therefore, the area of Magnolia's scale drawing of the flag is approximately 108.3 square inches.