Mathematics: Find the area of the following shape. you must show all work to receive credit.

Find the area of the following shape. you must show

jadynsantiago

20.06.2020

54 units²

Step-by-step explanation:

The area can be found by cutting the shape and adding the small pieces:

The area of triangle AFB will be:

Area = $\frac{1}{2}base * perpendicular height$

base = 10 units

height = 3 units

Therefore, the area = $0.5 * (10 * 3)\\= 15 units^{2}$

The area of the other shapes:

A = 0.5 (1* 6)

= 3 units²

The area of the rectangle = lb

= 6 × 6

= 36 units²

Total area = 15 + 3 + 36

= 54 units²

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