2 Answers

Jameo · Answer 1 · 2023-06-02T11:00:04+0000

Hi!

The area of the entire figure is 76 units squared.

NOTE: This question has two different shapes: a rectangle, and a triangle.

Rectangle Formula:

Length * Width = Area

LW=A

Triangle Formula

(Base * Height) / 2 = Area

$\cfrac{bh}{2}=A$

Let's first get the rectangle's area:

LW=A

8*7=A

56=A

The area of the rectangle is 56.

Now, for the top triangle:

$\cfrac{bh}{2} =A$

$\cfrac{8*2}{2} =A$

8=A

The area of the top triangle is 8.

Now, for the bottom triangle.

$\cfrac{bh}{2} =A$

$\cfrac{8*3}{2} =A$

12=A

The area of the bottom triangle is 12.

Now, add them all together:

56+8+12=76

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