Question

What is the area if one of the triangular side of the figure?

Answer 1

Compound Shape

The shape of the figure attached consists on four triangles and one square.

The base of each triangle is B=12 cm and the height is H=10 cm, thus the area is:

`A_t=(BH)/(2)`

Calculating:

`A_t=(12\cdot10)/(2)=60`

The area of each triangle is 60 square cm.

Now for the square of a side length of L=12.

The area of a square of side length a, is:

`A_s=a^2`

Calculate the area of the square:

`A_s=12^2=144`

The total surface area is:

A = 60*4 + 144

A= 240 + 144

A = 384 square cm