Question

Find the area of the shape shown below.

Answer 1

Answer:

The area is 42.5 units².

Step-by-step explanation:

1. Find the area for the entire rectangle:

$a = 5.5 \times 9 = 49.5$

2. Find the area for the left missing rectangle:

$a = \frac{2 \times 2}{2} \\ a = 2$

3. Find the area for the right missing rectangle:

$a = \frac{2 \times 5}{2} \\ a = 5$

4. Subtract the triangles' areas from the rectangle's:

$a = 49.5 - 5 - 2 \\ a = 42.5$

Answer 2

Answer:

42.5

Step-by-step explanation:

The big rectangle is 9*3.5 = 31.5

Small triangle to the left is 2 * 2= 4/2 = 2 (It's 4/2 because triangles are (base*height)/2)

The small middle square is 2*2 = 4 (We know this because the triangle heights are 2)

The right triangle is 2*5 = 10/2 = 5

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Then you add up the answers for the area.

31.5 + 2 + 4 + 5 = 42.5