He arena will also have a children’s assault course in one area. As part of this, a climbing structure needs to be built in the shape of a pyramid. Look at the diagram below. Wh…

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asked Jul 2, 2019 170k views

2 Answers

Esterlinkof · Answer 1 · 2019-07-08T19:52:26+0000

Answer:

$24\text{ m}^2$

Explanation:

We have been given a diagram of a pyramid and we are asked to find the area of our given pyramid.

We can see that base of pyramid is square, so we will use area of square pyramid formula to solve our given problem.

$\text{Area of square pyramid}=a^2+2a\sqrt{(a^2)/(4)+h^2}$ , where,

a = Length of base,

h = height of pyramid.

Upon substituting our given values in above formula we will get,

$\text{Area of square pyramid}=3^2+2*3\sqrt{(3^2)/(4)+2^2}$

$\text{Area of square pyramid}=9+6\sqrt{(9)/(4)+4}$

$\text{Area of square pyramid}=9+6√(2.25+4)$

$\text{Area of square pyramid}=9+6√(6.25)$

$\text{Area of square pyramid}=9+6*2.25$

$\text{Area of square pyramid}=9+15$

$\text{Area of square pyramid}=24$

Therefore, area of our given pyramid is 24 square meters.