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
First, we need to calculate the scale factor used in the drawing. The scale factor is determined by dividing the actual length by the scale length.
Scale factor = Actual length / Scale length
Scale factor = 25 inches / 10 inches
Scale factor = 2.5
Next, we need to find the height of the flag in the scale drawing by multiplying the actual height by the scale factor.
Scale height = Actual height x Scale factor
Scale height = 15 inches x 2.5
Scale height = 37.5 inches
Now that we have the length and height of the triangle in the scale drawing, we can use the formula for calculating the area of a triangle.
Area = 1/2 x base x height
Area = 1/2 x 10 inches x 37.5 inches
Area = 1/2 x 375
Area = 187.5 square inches
Therefore, the area of Magnolia's scale drawing of the flag is 187.5 square inches.