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A skyscraper in London, England, has a roof in the shape of a square pyramid. Its approximate dimensions are shown in the net.

What is the surface area of the skyscraper's roof, including the base?



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A skyscraper in London, England, has a roof in the shape of a square pyramid. Its-example-1
User Savvybug
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2 Answers

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Answer:

3300 Hope this helps and extra good luck!

Explanation:

User Imprezzeb
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3 votes
For this question, find the area of each individual figure and then add all of them together.

Let's start with the triangles. To find the area of a triangle, use the formula A =
(1)/(2)bh (b = base and h = height).

A =
(1)/(2)bh
A =
(1)/(2)(30)(40)
A =
(1)/(2)(1200)
A =
(1200)/(2)
A = 600m²

There are 4 triangles, so multiply the area of one triangle by 4 to find the area of all 4 triangles.
(600)(4) = 2400m²

Now we can find the area of the square. To find the area of a square, simply multiply the length x width (or square one side).
A = l x w
A = (30)(30)
A = 900m²

Add together the area of the triangles and the area of the square to get the total area:
2400 + 900 = 3300m²

User AMendis
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