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:

$\text{ Area }=\text{ Length }\times\text{ Width}$

The shape is:

For the first region:

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

The area of the first region is:

$\begin{gathered} \text{ Area }=\text{ Length}\times\text{ Width} \\ \\ =80\times40 \\ \\ =3200\text{ ft}^2 \end{gathered}$

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:

$\begin{gathered} \text{ Area }=\text{ Length}\times\text{ Width} \\ \\ \text{ Area }=20\times60 \\ \\ \text{ Area }=1200\text{ ft}^2 \end{gathered}$

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