Question

What is the area of the figure shown below​

Answer 1

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Answer:

Your answer would be 90 in²

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Step-by-step explanation:

To find the area of a shape like this, we would want to spit the figure into smaller pieces, then add the different areas all together. This would make the problem more simpler.

To do this, we must find the different areas for this different pieces.

Lets split them up by having the rectangle as one piece, and the triangles as separate pieces.

We could find the area of the rectangle, since the numbers 6 (width) and 12 (length) is already there. To solve this, we would use the area of a rectangle equation "length × width"

6× 12 = 72

72 would be the area for the rectangle.

Now, we need to find the area of the triangles.

We already have the height of the triangle, we just need to find the base of it.

To find the base, we would use the number "12" below. You see how the base of the traingle is half of the line that's "12?" That shows us that the base of the traingle would be half of 12, and that would be 6.

Now to find the area of the triangle, you would multiply $\frac{1}{2}$b×h

$\frac{1}{2}$(6)(3) = 9

Since there is another triangle that is exactly the same, the rea of that triangle would be the same.

Now, we would ad all the areas together:

72 + 9 + 9 = 90

Your FINAL answer would be 90 in²

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