Answer:
The surface area of the monument = 56 m^2
Explanation:
A monument which is in the shape of square pyramid and the net is given.
The surface is nothing but the sum of areas of all the faces.
There are 4 congruent triangles on the sides and 1 square base.
Let's find the area of the base.
Area of the base = side *side
Here side = 4 m
Area of the base = 4*4 = 16 m^2
Now let's find the area of 1 triangle.
The base of the triangle is 4 and the height is 5.
Area of the triangle = 1/2*base * height
= 1/2*4*5
= 2*5
= 10 m^2
Area of the 1 triangle = 10m^2
We know the 4 triangles are congruent to each other.
Surface area = base area + 4(area of the triangle)
= 16 + 4(10)
= 16 + 40
The surface area of the monument = 56 m^2