Question

The 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.

What is the area of this shape?
m2

Answer 1

hello!

Answer:

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.
, where,
a = Length of base,
h = height of pyramid.
Upon substituting our given values in above formula we will get,







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

Answer 2

Area of the shape is 21 m².

Explanation:

From the given figure it is clear that the figure contains one square with edge 3 m and 4 congruent triangles with base 3 m and height 2 m.

The area of a square is

`A=a^2`

`A_1=(3)^2=9`

The area of square is 9 m².

The area of a triangle is

`A=(1)/(2)* base * height`

The area of a triangle whose base is 3 m and height 2 m is

`A=(1)/(2)* 3 * 2=3`

The area of a triangle is 3 m². So, the area of 4 triangles is

`A_2=4 * A=4* 3=12`

The area of 4 triangles is 12 m².

The area of shape is

`A=A_1+A_2=9+12=21`

Therefore the area of the shape is 21 m².