Solving Linear Equations: Area & Perimeter Challenges

A rectangle has a length that is 3 meters longer than its width. If the perimeter of the rectangle is 30 meters, what are the dimensions of the rectangle?

• Width: 6 meters, Length: 9 meters

• Width: 7 meters, Length: 10 meters

• Width: 4 meters, Length: 7 meters

• Width: 5 meters, Length: 8 meters

The length of a garden is twice its width. If the area of the garden is 200 square meters, what are the dimensions of the garden?

• Length: 20 meters, Width: 10 meters

• Length: 40 meters, Width: 20 meters

• Length: 30 meters, Width: 15 meters

• Length: 25 meters, Width: 12.5 meters

A rectangular pool has a length that is 5 feet more than its width. If the area of the pool is 60 square feet, find the dimensions of the pool.

• Width: 4 feet, Length: 9 feet

• Width: 5 feet, Length: 10 feet

• Width: 6 feet, Length: 11 feet

• Width: 5 feet, Length: 12 feet

Two adjacent rectangular fields have a combined area of 500 square meters. The length of the first field is 10 meters, and its width is 5 meters. What are the dimensions of the second field?

• 5 meters by 100 meters

• 10 meters by 50 meters

• 15 meters by 30 meters

• 20 meters by 20 meters

A rectangular classroom has a length that is 4 feet longer than its width. If the area of the classroom is 96 square feet, what are the dimensions of the classroom?

• Width: 5 feet, Length: 9 feet

• Width: 10 feet, Length: 14 feet

• Width: 6 feet, Length: 10 feet

• Width: 8 feet, Length: 12 feet

The perimeter of a rectangular plot of land is 50 meters. If the length is 5 meters more than the width, what are the dimensions of the plot?

• Width: 8 meters, Length: 18 meters

• Width: 12 meters, Length: 17 meters

• Width: 10 meters, Length: 15 meters

• Width: 5 meters, Length: 20 meters

A rectangular painting has a width that is 2 inches less than its length. If the area of the painting is 48 square inches, what are the dimensions of the painting?

• Length: 10 inches, Width: 8 inches

• Length: 7 inches, Width: 5 inches

• Length: 8 inches, Width: 6 inches

• Length: 6 inches, Width: 4 inches

A rectangular garden has a length that is 3 times its width. If the perimeter of the garden is 48 meters, what are the dimensions of the garden?

• Width: 8 meters, Length: 24 meters

• Width: 10 meters, Length: 30 meters

• Width: 4 meters, Length: 12 meters

• Width: 6 meters, Length: 18 meters

The length of a rectangular room is 6 feet longer than its width. If the area of the room is 72 square feet, what are the dimensions of the room?

• Width: 6 feet, Length: 12 feet

• Width: 4 feet, Length: 10 feet

• Width: 8 feet, Length: 14 feet

• Width: 5 feet, Length: 11 feet

A rectangular box has a length that is 4 inches longer than its width. If the perimeter of the box is 40 inches, what are the dimensions of the box?

• Width: 6 inches, Length: 10 inches

• Width: 5 inches, Length: 9 inches

• Width: 8 inches, Length: 12 inches

• Width: 10 inches, Length: 14 inches