A triangle flag has a height of 15 in and a base length of 25 in magnolia makes a scale drawing of the flag in which the base length is 10 inches what is the area of magnolia 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 by dividing the actual base length by the scale base length:

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

Next, we need to find the scaled height by multiplying the actual height by the scale factor:

Scaled height = Actual height x Scale factor
Scaled height = 15 in x 2.5
Scaled height = 37.5 in

Now, we can calculate the area of the scaled flag using the scaled base length and height:

Scaled area = 0.5 x Base x Height
Scaled area = 0.5 x 10 in x 37.5 in
Scaled area = 0.5 x 375 in^2
Scaled area = 187.5 in^2

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