Question

A figure is made up of three triangles. Each triangle has a baseof 4.5 feet and a height of 4.5 feet. What is the total area of thefigure?

Answer 1

Area of Compound Figures

A figure is made up of 3 triangles with a base b=4.5 feet and a height h=4.5 feet

The area of a triangle of base b and height h is:

`A=(b\cdot h)/(2)`

Substituting the given values:

`A=(4.5ft\cdot4.5ft)/(2)=10.125ft^2`

The total area is 3 times the above area, thus:

`A_t=3\cdot10.125ft^2=30.375ft^2`

Answer: a.