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Kobotan [32]
3 years ago
5

10.If Zoe paints the outside faces of

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

Step-by-step explanation:

Area of one side of the shed

5*4=20

she painted 4 sides so 20*4 =80

Triangle that is part of the pyramid as the roof of the shed has a side of 5. Using the Pythagorean theorem,

{5}^{2}  -  {2.5}^{2}  =18.75

we need to find the square root of 18.75 to find the height of the triangle which is

\sqrt{18.75}  = 4.330127019

that is the height

(base x height) /2 is the formula for a right triangle. there are 2 of these right triangles per side of the roof. so we need to multiply the numbers by 8

\frac{2.5 \times 4.330127019}{2}  \times 8

this number gives us 43.30127019

we can finally add that number to 80 to get the total surface area Zoe painted which is 123.3012702

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