Question

Find the area of the composite figure.

2 ft
F
4.5 ft
K
6.5 ft
1 ft
1 ft

Answer 1

The area is 13 feet squared.

Explanation:

To find the area, first separate the composite figure into two shapes: a rectangle and a triangle.

Find the area of each shape separately, and then add the areas together.

First, the rectangle:

length= 4.5 feet

width = 2 feet

`2*4.5=9 ft^(2)`

The area of the rectangle is 9 feet squared.

Next, the triangle:

The base is 2 feet + 1 foot + 1 foot = 4 feet

The height is 6.5 feet - 4.5 feet = 2 feet

The formula to find the area of a triangle is
`(h*b)/(2)` (height times base over two)

`(2*4)/(2)=4ft^(2)`

the area of the triangle is 4 feet squared.

Add the two areas together to find the total area of the composite figure:

`9ft^(2) +4ft^(2)=13ft^(2)`

The area is 13 feet squared.