Mastering Area and Perimeter: Graphing Linear Equations

A rectangular garden has a length that is 3 meters longer than its width. If the perimeter of the garden is 30 meters, what are the dimensions of the garden? Identify the variables and graph the equations.

• Width: 5 meters, Length: 8 meters

• Width: 6 meters, Length: 9 meters

• Width: 7 meters, Length: 10 meters

• Width: 4 meters, Length: 7 meters

A rectangular pool has a width that is half its length. If the area of the pool is 200 square meters, what are the dimensions of the pool? Set up the equations and identify the variables.

• Length: 40 meters, Width: 20 meters

• Length: 20 meters, Width: 10 meters

• Length: 25 meters, Width: 5 meters

• Length: 30 meters, Width: 15 meters

A farmer has a rectangular field. The length is twice the width. If the area of the field is 500 square meters, find the dimensions of the field. Graph the equations and identify the variables.

• Width: 10 meters, Length: 20 meters

• Width: 5√10 meters, Length: 10√10 meters

• Width: 15 meters, Length: 30 meters

• Width: 2√10 meters, Length: 4√10 meters

A rectangular classroom has a length that is 4 feet longer than its width. If the area of the classroom is 60 square feet, what are the dimensions? Identify the variables and graph the equations.

• Width: 7 feet, Length: 11 feet

• Width: 5 feet, Length: 9 feet

• Width: 6 feet, Length: 10 feet

• Width: 8 feet, Length: 12 feet

A fence is to be built around a rectangular yard. The length is 5 meters more than twice the width. If the perimeter is 50 meters, what are the dimensions of the yard? Set up the equations and identify the variables.

• Width: 20/3 meters, Length: 55/3 meters

• Width: 10 meters, Length: 30 meters

• Width: 5 meters, Length: 25 meters

• Width: 15 meters, Length: 35 meters

A rectangular piece of land has a length that is 10 meters longer than its width. If the area of the land is 200 square meters, find the dimensions. Graph the equations and identify the variables.

• Width: 5 meters, Length: 15 meters

• Width: 15 meters, Length: 25 meters

• Width: 10 meters, Length: 20 meters

• Width: 12 meters, Length: 22 meters

A rectangular swimming pool has a length that is 3 meters longer than its width. If the perimeter of the pool is 36 meters, what are the dimensions? Identify the variables and graph the equations.

• Width: 8 meters, Length: 11 meters

• Width: 5 meters, Length: 8 meters

• Width: 7.5 meters, Length: 10.5 meters

• Width: 6 meters, Length: 9 meters

A rectangular garden has a width that is 2 meters less than its length. If the area of the garden is 48 square meters, what are the dimensions? Set up the equations and identify the variables.

• Length: 10 meters, Width: 4 meters

• Length: 6 meters, Width: 8 meters

• Length: 8 meters, Width: 6 meters

• Length: 5 meters, Width: 7 meters

A rectangular plot of land has a length that is 4 meters longer than its width. If the perimeter is 40 meters, what are the dimensions? Graph the equations and identify the variables.

• Width: 10 meters, Length: 14 meters

• Width: 8 meters, Length: 12 meters

• Width: 5 meters, Length: 9 meters

• Width: 6 meters, Length: 10 meters

A rectangular room has a length that is 5 feet longer than its width. If the area of the room is 75 square feet, what are the dimensions? Identify the variables and graph the equations.

• Width: 7 feet, Length: 12 feet

• Width: 6 feet, Length: 11 feet

• Width: 5 feet, Length: 10 feet

• Width: 4 feet, Length: 9 feet