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?Enter your answer in the box.

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 = [tex] \frac{1}{2} [/tex]bh (b = base and h = height).

A = [tex] \frac{1}{2} [/tex]bh
A = [tex] \frac{1}{2} [/tex](30)(40)
A = [tex] \frac{1}{2} [/tex](1200)
A = [tex] \frac{1200}{2} [/tex]
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