Question

What is the area of the figure? A figure can be broken into a rectangle and triangle. The rectangle has a base of 5 feet and height of one-third feet. The triangle has a base of 3 and two-thirds feet and height of 2 feet.5One-third ft26 and two-thirds ft27 ft29 ft2

Answer 1

5 and one-third square feet.

Explanation:

Given a figure that is broken into a rectangle and a triangle.

The dimensions of the rectangle are:

`\begin{gathered} Base=5\;ft \\ Height=(1)/(3)\;ft. \end{gathered}`

The dimensions of the triangle are:

`\begin{gathered} Base=3(2)/(3)\;ft. \\ Height=2\;ft. \end{gathered}`

The area of the figure is calculated below:

`\begin{gathered} Area=\text{ Area of Rectangle+Area of the triangle} \\ =LB+(1)/(2)bh \\ =(5*(1)/(3))+((1)/(2)*3(2)/(3)*2) \end{gathered}`

The result is simplified below:

`\begin{gathered} =(5)/(3)+(11)/(3) \\ =(5+11)/(3) \\ =(16)/(3) \\ =5(1)/(3)\;ft^2 \end{gathered}`

The area of the figure is 5 and one-third square feet.