Exploring Area & Perimeter in Rectangular Designs

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: 5 meters, Length: 8 meters

• Width: 7 meters, Length: 10 meters

• Width: 6 meters, Length: 9 meters

• Width: 4 meters, Length: 7 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: 30 meters, Width: 15 meters

• Length: 15 meters, Width: 7.5 meters

• Length: 25 meters, Width: 12.5 meters

• Length: 20 meters, Width: 10 meters

A rectangular swimming pool has a length that is 5 meters more than twice its width. If the perimeter of the pool is 50 meters, what are the dimensions of the pool?

• Width: 10 meters, Length: 25 meters

• Width: 8 meters, Length: 21 meters

• Width: 5 meters, Length: 15 meters

• Width: 6.67 meters, Length: 18.34 meters

Two adjacent rectangular fields have a combined perimeter of 100 meters. If the length of the first field is 10 meters and its width is 5 meters, what are the dimensions of the second field?

• Length: 20 meters, Width: 10 meters

• Length: 5 meters, Width: 25 meters

• Length: 15 meters, Width: 20 meters (or vice versa)

• Length: 10 meters, Width: 30 meters

A square and a rectangle have the same perimeter of 48 meters. If the side length of the square is 12 meters, what are the dimensions of the rectangle if its length is twice its width?

• Length: 16 meters, Width: 8 meters

• Length: 12 meters, Width: 6 meters

• Length: 20 meters, Width: 10 meters

• Length: 24 meters, Width: 12 meters

A farmer has a rectangular plot of land where the length is 4 meters less than three times the width. If the area of the plot is 80 square meters, what are the dimensions of the plot?

• Width: 7 meters, Length: 10 meters

• Width: 6 meters, Length: 14 meters

• Width: 8 meters, Length: 20 meters

• Width: 5 meters, Length: 15 meters

The perimeter of a rectangular classroom is 64 meters. If the length is 8 meters more than the width, what are the dimensions of the classroom?

• Width: 10 meters, Length: 18 meters

• Width: 12 meters, Length: 20 meters

• Width: 14 meters, Length: 22 meters

• Width: 16 meters, Length: 24 meters

A rectangular fence is to be built around a garden. If the length is 3 meters more than the width and the total perimeter is 36 meters, what are the dimensions of the garden?

• Width: 7.5 meters, Length: 10.5 meters

• Width: 5 meters, Length: 8 meters

• Width: 8 meters, Length: 11 meters

• Width: 6 meters, Length: 9 meters

A rectangular box has a length that is 4 inches longer than its width. If the area of the box's base is 60 square inches, what are the dimensions of the box?

• Width: 5 inches, Length: 9 inches

• Width: 8 inches, Length: 12 inches

• Width: 7 inches, Length: 11 inches

• Width: 6 inches, Length: 10 inches

A rectangular piece of land has a length that is 5 meters less than twice its width. If the area of the land is 75 square meters, what are the dimensions of the land?

• Width: 5 meters, Length: 15 meters

• Width: 10 meters, Length: 5 meters

• Width: 7.5 meters, Length: 10 meters

• Width: 8 meters, Length: 6 meters