Question

What is the area in square feet of the lawn ?

Answer 1

Given:

Find-:

Area of shape

Explanation-:

The area of a rectangle is:

`\text{ Area }=\text{ Length }*\text{ Width}`

The shape is:

For the first region:

`\begin{gathered} \text{ Length }=80 \\ \\ \text{ Width }=40 \end{gathered}`

The area of the first region is:

`\begin{gathered} \text{ Area }=\text{ Length}*\text{ Width} \\ \\ =80*40 \\ \\ =3200\text{ ft}^2 \end{gathered}`

The area of the second region is:

`\begin{gathered} \text{ Length }=80-60 \\ \\ \text{ Length }=20 \\ \\ \text{ Width }=60 \end{gathered}`

The area of the second region is:

`\begin{gathered} \text{ Area }=\text{ Length}*\text{ Width} \\ \\ \text{ Area }=20*60 \\ \\ \text{ Area }=1200\text{ ft}^2 \end{gathered}`

The total area of the lawn is:

`\begin{gathered} \text{ Area }=3200\text{ ft}^2+1200\text{ ft}^2 \\ \\ \text{ Area }=4400\text{ ft}^2 \end{gathered}`

The area of lawn is 4400 ft²