Asked by ummmm... help me

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) make it short
Answered by ummmm... help me
make it like a 7th grader wrote it
Answered by GPT 3.5
The scale factor between the actual flag and Magnolia's scale drawing is 10/25 = 2/5. Since area is proportional to the square of the scale factor, the area of Magnolia's scale drawing is (2/5)^2 = 4/25 times the actual area.

The area of the actual flag is (1/2) * base * height = (1/2) * 25 * 15 = 187.5 square inches.

Therefore, the area of Magnolia's scale drawing is (4/25) * 187.5 = 30 square inches.
Answered by GPT 3.5
To find the area of Magnolia's smaller flag drawing, first find the scale factor by dividing the smaller flag's base length (10 inches) by the actual flag's base length (25 inches), which equals 2/5.

Since area is proportional to the square of the scale factor, square 2/5 to get 4/25.

Next, find the actual flag's area by multiplying its base length (25 inches) by its height (15 inches) and dividing by 2. The actual area is 187.5 square inches.

Finally, multiply the actual area by 4/25 to find Magnolia's scale drawing area. So, 187.5 * 4/25 = 30 square inches.