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umka21 [38]
3 years ago
9

Find the area of the shape shown below.​

Mathematics
2 answers:
Ulleksa [173]3 years ago
6 0

Answer:

Step-by-step explanation:

Is 28 units

Tamiku [17]3 years ago
5 0

Answer:

28 square units.

Step-by-step explanation:

Let us divide the shape into two rectangles and a right triangle. The resulting composite figure is attached.

As we see in the figure the area A_T of the triangle is

A_T= \frac{1}{2} (2)(4)=4\: units^2.

The area A_{r1} of the bigger rectangle is (it's actually a square )

A_{r1}=4*4=16\:units^2,

and the area of the smaller rectangle is

4*2 =8\:units^2.

Therefore, the total area A_{tot} of the shape is

A_{tot}= A_T+A_{r1}+A_{r2}

A_{tot}= 4\:units^2+16\:units^2+8\:units^2

\boxed{A_{tot}=28 \:units^2}

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