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3 years ago

PLz help I will give brainliest!!!!! and extra points

Mathematics

1 answer:

Natalija [7]3 years ago

3 0

Hey there!

The answer to your question is $95.55$

Formulas:

Area of semi-circle = $\frac{1}{2}(\pi r^2)$

Area of rectangle = $lw$

Area of triangle = $\frac{bh}{2}$

Now solve:

semi-circle

$\frac{1}{2}\pi3^2$

$\frac{1}{2}\pi9$

$4.5\pi$

(We will use 3.14 as approx. for pi)

$4.5 * 3.14\\23.55$

rectangle

$10(6)\\60$

triangle

$\frac{4(6)}{2}$

$\frac{24}{2} \\12$

Now add them all together:

$23.55+60+12\\95.55$

Have a terrificly amazing day!

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<h2>Question:- Area of the given diagram</h2>

<h2>Answer :- </h2>

Divide the diagram as shown in attachment.

Now first calculate the area of the rectangle having side 1 and 12

So area = length ×breadth

Area = 1× 12 = 12 unit²

Now find the Area of the remaining triangle with sides 12,13,5 units

$Area = \frac{1}{2} \times base \times height \:$

Now put the value as -> base= 5 and height= 12

$Area = \frac{1}{2} \times base \times height \: \\ Area = \frac{1}{2} \times 5 \times 12 \\ Area = \frac{1}{ \cancel2} \times 5 \times \cancel{12}^{ \: \: 6} \\ Area = 5 \times 6 \\ Area = 30 \: units^{2}$

Now add both areas for your answer

$Area{ \tiny{1}} = 12 {units}^{2} \\ Area{ \tiny2} = 30 {units}^{2} \\ Area{ \tiny{total}} = Area{ \tiny{1}} + Area{ \tiny{2}} \\ Area{ \tiny{total}} = 12 + 30 = 42 {units}^{2}$