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3 years ago

Find the area of a regular octagon with an apothem of 8

Mathematics

1 answer:

xenn [34]3 years ago

6 0

Answer:

308cm²

Step-by-step explanation:

Assuming the given unit is in cm

The expression for the area of a regular Octagon is

A=2(1+√2)a²

Given the apothem a = 8cm

Substituting we have

A=2(1+√2)8²

A= 2(1+1.414)64

A= 2(2.414)64

A= 308cm²

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Answer:

3 and 9

Step-by-step explanation:

3 * 24 = 72

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3 * 15 = 45

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Graph the following system of equations and find where they meet 3x + 5y = 36 y = 5x - 4

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Answer:

[2,6]

Step-by-step explanation:

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2 years ago

Dale keeps all of his pairs of shoes in his closet. select the number of shoes that deal could have in his closet. Mark all that

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Need math help (last one wouldn't let me upload pic)

Scrat [10]

Answer:

$\text{Area of the figure}=54\text{ unit}^2$

Step-by-step explanation:

Please find the attachment.

Let us divide our given image in several parts and then we will find area of different parts.

First of all let us find the area of our red rectangle with side lengths 6 units and 7 units.

$\text{Area of rectangle}=\text{Length*Width}$

$\text{Area of red rectangle part}=6\text{ units}\times 7\text{ units}$

$\text{Area of red rectangle part}=42\text{ units}^2$

Now let us find area of yellow triangle on the top of red rectangle. We can see that base of triangle is 6 units and height is 1 unit.

$\text{Area of triangle}=\frac{1}{2}\times \text{Base*Height}$

$\text{Area of triangle}=\frac{1}{2}\times \text{6 units *1 unit}$

$\text{Area of triangle}=3\text{ unit}^2$

Let us find the area of green triangle.

$\text{Area of green triangle}=\frac{1}{2}\times \text{3 units *2 units}$

$\text{Area of green triangle}=3\text{ unit}^2$

Now we will find the area of blue triangle, whose base is 6 units and height is 2 units.

$\text{Area of blue triangle}=\frac{1}{2}\times \text{6 units *2 units}$

$\text{Area of blue triangle}=6\text{ units}^2$

Let us add all these areas to find the area of our figure.

$\text{Area of the figure}=42\text{ units}^2+3\text{ unit}^2+3\text{ unit}^2+6\text{ unit}^2$

$\text{Area of the figure}=(42+3+3+6)\text{ unit}^2$

$\text{Area of the figure}=54\text{ unit}^2$

Therefore, area of our given figure is 54 square units.

3 0

3 years ago