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miv72 [106K]
3 years ago
14

What is the approximate area of the figure?

Mathematics
1 answer:
melisa1 [442]3 years ago
4 0

Option D:

The approximate area of the figure is 109.6 square feet.

Solution:

The figure is splitted into three shapes.

One is rectangle and the other two is semi-circles.

Diameter of the semi-circle = 5 feet

Radius of the semi-circle = 5 ÷ 2 = 2.5 feet

Area of the semi-circle = \frac{1}{2}\pi r^2

                                      $=\frac{1}{2}\times 3.14\times (2.5)^2

Area of the semi-circle = 9.8 square feet

Area of 2 semi-circles = 2 × 9.8

Area of 2 semi-circles = 19.6 square feet

Length of the rectangle = 18 feet

Width of the rectangle = 5 feet

Area of the rectangle = length × width

                                    = 18 × 5

Area of the rectangle = 90 square feet

Area of the figure = Area of 2 semi-circles + Area of the rectangle

                              =  19.6 square feet + 90 square feet

                              = 109.6 square feet

The approximate area of the figure is 109.6 square feet.

Hence Option D is the correct answer.

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Given equation : 4x+6y=48 .

The general form of the linear equation is ax +by =c.

The given equation is already in general form.

Let us find x-intercept.

Plugging y =0 in given equation.

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4x +0 = 48

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Dividing both sides by 4, we get

4x/4 = 48/4

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Let us find y-intercept.

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4x+6y=48

Subtracting 4x from both sides, we get

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Dividing both sides by 6, we get

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Let us find factored form now.

GCF of the given linear equation is 2.

Factoring out 2 in all term, we get

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