Question

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

short it

Answer 2

wait were did the 0.5 come from

Answer 3

First, we need to determine the scale factor used in Magnolia's scale drawing.

Scale factor = Magnolia's base length / Actual base length
Scale factor = 10 inches / 25 inches
Scale factor = 0.4

Next, we need to determine the actual height of the flag in Magnolia's scale drawing using the scale factor.

Magnolia's height = Actual height * Scale factor
Magnolia's height = 15 inches * 0.4
Magnolia's height = 6 inches

Now, we can calculate the area of Magnolia's scale drawing.

Area = 0.5 * base length * height
Area = 0.5 * 10 inches * 6 inches
Area = 30 square inches

Therefore, the area of Magnolia's scale drawing is 30 square inches.

Answer 4

Scale factor = 10 / 25 = 0.4

Magnolia's height = 15 * 0.4 = 6 inches

Area = 0.5 * 10 * 6 = 30 square inches

The area of Magnolia's scale drawing is 30 square inches.

Answer 5

The formula to calculate the area of a triangle is A = 0.5 * base * height.

In this case, we are calculating the area of the triangular flag in Magnolia's scale drawing, so we use:
A = 0.5 * 10 * 6

The 0.5 is the constant value in the formula for the area of a triangle. It represents half of the product of the base length and height, and it is used to calculate the area accurately.