Question

I need to know the area

Answer 1

Answer:

67.5 units²

Step-by-step explanation:

We can break this problem down in two parts: The upper triangle and the lower trapezoid.

The upper triangle:

Use the formula $\frac{1}{2} (b)(h)$ to compute the area of the triangle. Base = 10 and Height = 7.

1/2 (10)(7)

1/2 (70)

=35 units².

The lower trapezoid:

Use the formula $\frac{1}{2}(base_{1} + base_{2}) (height)$ to compute the area of the trapezoid. Base 1 = 10, Base 2 = 3 and Height = 5.

1/2 (10 + 3)(5)

1/2 (13)(5)

1/2 (65)

=32.5 units²

So, add the two areas of each shape:

35 + 32.5 = 67.5 units².