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nikklg [1K]
4 years ago
10

PLEASE MATH HELP

Mathematics
2 answers:
Andrej [43]4 years ago
5 0
The best answer would be the third option or C.
Alinara [238K]4 years ago
4 0
ANSWER

10.5 + 7.25\pi \: {units}^{2}

EXPLANATION

The figure is made up of a triangle and a semicircle.

The area of the triangle is

= \frac{1}{2} \times base \times height

= \frac{1}{2} \times 7 \times 3

= \frac{21}{2}

= 10.5 \: units \: square

The area of the semicircular part is

= \frac{\pi \: {d}^{2} }{8}

We can find the diameter squared using the Pythagoras Theorem.

{d}^{2} = {7}^{2} + {3}^{2}

{d}^{2} = 49+ 9

{d}^{2} = 58

We substitute this into the formula for finding the area of the semicircle to get;

= \frac{58\pi}{8}

= 7.25\pi \: {units}^{2}

Therefore the area of the figure is

10.5 + 7.25\pi \: {units}^{2}

See diagram in attachment.

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