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lukranit [14]
4 years ago
12

Find the area of the shape shown below. 9.0 3.5 2 5 2. units

Mathematics
2 answers:
never [62]4 years ago
6 0
Answer: 42.5 unit^2

Explanation:
german4 years ago
5 0

Answer:

<h3>\boxed{42.5 \:  {units}^{2} }</h3>

Step-by-step explanation:

The shape could be divided into a rectangle and a trapezoid ( bottom part )

Let's find the area of the given shape:

Area of the given shape = \mathsf{ (l \times b) +  \frac{1}{2} (b1 + b2)h}

plug the values

\mathsf{  = (3.5 \times 9) +  \frac{1}{2} (9 +9 - (5 + 2) \times 2}

\mathsf{ = (3.5 \times 9) +  \frac{1}{2} (9 + 2)(2)}

\mathsf{ = 31.5 +  \frac{1}{2}  \times 11 \times 2}

\mathsf{ = 31.5 + 11}

\mathsf{ = 42.5 \:  {units}^{2} }

Hope I helped!

Best regards!

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