Question

Find the area of each figure. Round to the hundredths where necessary. 11 in 7 in 8.1 in 15 in

Answer 1

we are asked to determine the area of the following figure:

we have divided the figure into a rectangle and a triangle. The total area is the sum of the areas of both figures. First, we will find the area of the rectangle:

`\begin{gathered} A_1=(7in)(11in) \\ A_1=77in^2 \end{gathered}`

Now we will find the area of the triangle using the following formula:

`A_2=(bh)/(2)`

Where "b" is the base and "h" is the height. The base is found by subtracting the dimension on top to the dimension of the bottom:

`b=15in-11in=4in`

Now we will use the formula:

`A_2=((4in)(7in))/(2)`

Solving the operations:

`A_2=14in^2`

Now we add both areas:

`\begin{gathered} A=A_1+A_2 \\ A=77in^2+14in^2 \\ A=91in^2 \end{gathered}`

Therefore, the area of the figure is 91 square inches.