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antiseptic1488 [7]
2 years ago
6

$32.00 for 10 cookies Unit rate.

Mathematics
1 answer:
Nadya [2.5K]2 years ago
5 0

Answer:

$32/10 = $3.2/cookie

Step-by-step explanation:

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This figure is made up of a quadrilateral and a semicircle.
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Answer:

The correct option is B. The area of the figure is 40.4 units².

Step-by-step explanation:

The line AB divides the figure in two parts one is a rectangle and another is semicircle.

The distance formula is

d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}

The length of AB is

AB=\sqrt{(2+3)^2+(4-2)^2}=\sqrt{25+4}=\sqrt{29}

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AD=\sqrt{(-1+3)^2+(-3-2)^2}=\sqrt{4+25}=\sqrt{29}

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A_1=a\times a=\sqrt{29}\times \sqrt{29} =29

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The area of a semicircle is

A_2=\frac{\pi}{2}r^2

Since AB is the diameter of the semicircle, therefore the radius of the semicircle is

r=\frac{d}{2}=\frac{\sqrt{29}}{2}

The area of the semicircle is

A_2=\frac{3.14}{2}(\frac{\sqrt{29}}{2})^2=40.3825

The area of the figure is

A=A_1+A_2=29+11.2825=40.3825\approx 40.4

Therefore the area of the figure is 40.4 units². Option B is correct.

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I found the image that accompanied this problem.
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