A triangular flag has a height of 15 inches and a base length of 25 inches. Magnolia makes a scale drawing of the flag in which the base length is 10 inches. What is the area of Magnolia’s scale drawing? Solve the problem by computing the actual area from the scale drawing. Show your work.(4 points).........
To find the area of Magnolia's scale drawing, we need to use the concept of proportions.
Let the actual height of the flag be x inches. Since the scale drawing has a base length of 10 inches, we can set up the proportion:
x/15 = 10/25
Cross multiplying, we get:
25x = 150
x = 6 inches
Therefore, the actual height of the flag is 6 inches. Now, we can calculate the area of the scale drawing:
Base length = 10 inches
Height = 6 inches
Area = (1/2) * base * height
Area = (1/2) * 10 * 6
Area = 30 square inches
Therefore, the area of Magnolia's scale drawing is 30 square inches.