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OlgaM077 [116]
2 years ago
12

Find the area of a figure

Mathematics
1 answer:
motikmotik2 years ago
8 0

Answer:

4.62 sq ft

Step-by-step explanation:

Area of rectangle = 2.5 x 1 = 2.5

To get area of triangle we must use the altitude theorem to find the height:

let 'x' = altitude (or height)

x/1.5 = 2/x

cross-multiply to get:

x² = 3

x = \sqrt{3}

Area of triangle = 1/2(2.5)(\sqrt{3})

= 1.25\sqrt{3} which is approx 2.12

Total area = 2.5 + 2.12 = 4.62

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Step-by-step explanation:

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Need the answer to 2. 3. 7. 8. please help! Really confused on how to do this.
Oduvanchick [21]
2. \overline{SV}||\overline{TU} (this is given in the first sentence)

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What is the surface area of the triangular prism shown?
Lunna [17]

Answer:

The first step that we are going to do is to solve the area of the top rectangle.  We are given a width of 15 cm and a length of 25 cm so we can just multiply them against each other to get the area.

Area = l * w

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The second side that we are going to solve for is the bottom rectangle.  We are given a width of 12 cm and a length of 25 cm so lets just multiply them against each other to get the area.

Area = l * w

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The next area that we are going to determine is the back rectangle which has a width of 9 cm and a length of 25 cm so lets just multiply them against each other to get the area.

Area = l * w

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The final area that we have to determine are the side triangles.  After determining the area of one triangle we will have to multiply it by 2 to get the area for both of the triangles.  We are given a base of 12 cm and a height of 9 cm so lets just use the formula to find the area.

Area = \frac{1}{2}* b*h

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Finally, we are onto the last part which is to add up all of the areas and get the surface area after we combine everything.

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Therefore, our final answer is option B, 1008 cm^2

Hope this helps!

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