Question

What is the area of this figure?

Answer 1

Figure/

Answer 2

*Figure?

Answer 3

We can split this into a trapezoid and a triangle.

Answer 4

Oh I know how to do those!

Answer 5

Triangle:

\(A = \dfrac{1}{2} b h\)

\(A = \dfrac{1}{2}(18)(12)\)

Simplify

Answer 6

So the triangle would be 108 right?

Answer 7

Trapezoid:

\(A = \dfrac{1}{2}(b_1 + b_2) h\)

Answer 8

Correct.

Answer 9

\(A = \dfrac{1}{2}(14 + 18) (5)\)

Simplify

Answer 10

And the trapezoid would be 80 right?

Answer 11

Total height is 17, and the triangle's height is 12, so I subtracted 17 - 12 to find the height of the trapezoid.

Answer 12

Correct, now add the two areas together

Answer 13

188 is the answer?

Answer 14

Yep

Answer 15

Thank you so much!! :)