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Bogdan [553]
3 years ago
9

What is the area of this figure?

Mathematics
1 answer:
Alexxandr [17]3 years ago
5 0

Answer:

The area of the figure is equal to 35\ cm^{2}

Step-by-step explanation:

see the attached figure to better understand the problem

we know that

The area of the figure is equal to the area of a square plus the area of a triangle

<u>Find the area of the square</u>

The area of square is equal to

A=b^{2} =5^{2}=25\ cm^{2}

<u>Find the area of the triangle</u>

The area of the triangle is equal to

A=(1/2)bh=(1/2)(5)(4)=10\ cm^{2}

therefore

The area of the figure is equal to

25\ cm^{2}+10\ cm^{2}=35\ cm^{2}

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jok3333 [9.3K]

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Angle K is given as 48 degrees.

Angle M would be 90 degrees.

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Angle J = 42 degrees

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2 years ago
Please help me with this question
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Answer:

1.03

Step-by-step explanation:

To find the volume of a prism, find the area of the base and multiply it by the height.

The base is an octagon. The area is found A = 2(1+\sqrt{2})a^2. Substitute a = 0.5.

A = 2(1+\sqrt{2})(0.5^2)\\A = 4.828...(0.25)\\A = 1.21

The volume is 1.21*2.5 = 3.025.

However, there are three holes drilled out half way which each have volume 0.06.

The volume is found as V = πr²h. Substitute r = 0.125 which is half the diameter of 0.25. Since they go half way, the height is h = 1.25.

V = π(0.125)²(1.25) = 0.06.

Since there are 3, they equal 3*0.06 = 0.18.

Subtract this from the volume.

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