MATH SOLVE

3 months ago

Q:
# Please answer this!! (In your own words.) The best answer gets brainliest!Find the area:

Accepted Solution

A:

Answer:97.5 sq. ft.Step-by-step explanation:Im presuming the question asks to find area of the shaded region.First of all, the total figure is a rectangle. We can write an expression(in words) for the shaded area.Shaded Area = Area of Rectangle - Area of Small Triangle(White) - Area of Large Triangle(White)Now, we find respective areas.Area of rectangle:length * width = (5+10) * (12) = 15 * 12 = 180Area of Small Triangle (white):A = (1/2) * base * height = (1/2) * 5 * (12-3) = (1/2) * 5 * 9 = 22.5Area of Large Triangle (white):A = (1/2) * base * height = (1/2) * 10 * (12) = 60Now, we find area of shaded region:Shaded Area = Area of Rectangle - Area of Small Triangle(White) - Area of Large Triangle(White)Shaded Area = 180 - 22.5 - 60 = 97.5 sq. ft.