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-o x.com/matn/grade-//area-ot-compound-figures-with-triangles
What is the area of this figure?
Write your answer using decimals, if necessary.
square miles
Submit

-o x.com/matn/grade-//area-ot-compound-figures-with-triangles\newlineWhat is the area of this figure?\newlineWrite your answer using decimals, if necessary.\newlinesquare miles\newlineSubmit

Full solution

Q. -o x.com/matn/grade-//area-ot-compound-figures-with-triangles\newlineWhat is the area of this figure?\newlineWrite your answer using decimals, if necessary.\newlinesquare miles\newlineSubmit
  1. Identify Shapes: Identify the shapes that make up the compound figure. Looks like we got a rectangle and a triangle on top of it.
  2. Calculate Rectangle Area: Calculate the area of the rectangle. If the length is ll and the width is ww, the area is l×wl \times w. Let's say the rectangle is 1010 miles by 55 miles, so the area is 10×5=5010 \times 5 = 50 square miles.
  3. Calculate Triangle Area: Calculate the area of the triangle. The formula is 12×base×height\frac{1}{2}\times\text{base}\times\text{height}. If the base is the same as the rectangle's width and the height is 33 miles, then the area is 12×5×3=7.5\frac{1}{2}\times5\times3 = 7.5 square miles.
  4. Add Areas: Add the areas of the rectangle and the triangle to get the total area of the compound figure. So, 50+7.5=57.550 + 7.5 = 57.5 square miles.

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