Area and Perimeter Unit Test

Question

15 of 1515 of 15 Items

Question
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)

Answer 1

To find the area of the scale drawing, we first need to find the scale factor by dividing the actual base length by the scale drawing base length.

Actual base length = 25 inches
Scale drawing base length = 10 inches

Scale factor = Actual base length / Scale drawing base length
Scale factor = 25 / 10
Scale factor = 2.5

Now, we can find the scale drawing height by multiplying the actual height by the scale factor.

Actual height = 15 inches
Scale drawing height = Actual height * Scale factor
Scale drawing height = 15 * 2.5
Scale drawing height = 37.5 inches

Now, we can find the area of the scale drawing by using the scale drawing base length and height.

Scale drawing area = (1/2) * base length * height
Scale drawing area = (1/2) * 10 * 37.5
Scale drawing area = 187.5 square inches

Therefore, the area of Magnolia’s scale drawing of the flag is 187.5 square inches.