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.

Answer 1

First, we need to find the scale factor used in the scale drawing.

Scale factor = Actual length / Length in scale drawing
Scale factor = 25 inches / 10 inches
Scale factor = 2.5

Next, we need to find the height in the scale drawing using the scale factor.

Height in scale drawing = 15 inches / 2.5
Height in scale drawing = 6 inches

Now that we have the height and base length in the scale drawing, we can calculate the area.

Area in scale drawing = 1/2 * base * height
Area in scale drawing = 1/2 * 10 inches * 6 inches
Area in scale drawing = 30 square inches

Finally, we need to find the actual area from the scale drawing by squaring the scale factor.

Actual area = Area in scale drawing * (Scale factor)^2
Actual area = 30 square inches * (2.5)^2
Actual area = 30 square inches * 6.25
Actual area = 187.5 square inches

Therefore, the area of Magnolia's scale drawing is 30 square inches and the actual area of the flag is 187.5 square inches.

Answer 2

shorten it

Answer 3

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