Given:
Actual height = 15 inches
Actual base length = 25 inches
Scale base length = 10 inches
To find the scale height, we can use the proportion:
Actual base length: Scale base length = Actual height: Scale height
25:10 = 15:x
25x = 150
x = 6
Therefore, the scale height is 6 inches.
Now, the area of the triangle is given by the formula:
Area = 0.5 * base length * height
For the actual triangle:
Area_actual = 0.5 * 25 * 15
Area_actual = 187.5 square inches
For the scale drawing:
Area_scale = 0.5 * 10 * 6
Area_scale = 30 square inches
Therefore, the area of Magnolia's scale drawing is 30 square inches.
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. Make it simple
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