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.
Accepted Solution
A:
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