Mastering Perimeter and Area in Word Problems

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?

• Width: 7 meters, Length: 10 meters

• Width: 4 meters, Length: 7 meters

• Width: 6 meters, Length: 9 meters

• Width: 5 meters, Length: 8 meters

A square park has an area of 64 square meters. What is the perimeter of the park?

• 24 meters

• 16 meters

• 40 meters

• 32 meters

The length of a rectangular swimming pool is twice its width. If the area of the pool is 200 square meters, what is the perimeter of the pool?

• 70 meters

• 60 meters

• 50 meters

• 80 meters

A rectangular field has a width of x meters and a length of (x + 5) meters. If the perimeter is 50 meters, find the value of x and the dimensions of the field.

• Width: 5 meters, Length: 10 meters

• Width: 12 meters, Length: 17 meters

• Width: 10 meters, Length: 15 meters

• Width: 8 meters, Length: 13 meters

A triangular lot has a base that is 4 meters longer than its height. If the area of the lot is 48 square meters, what are the dimensions of the lot?

• Height: 5 meters, Base: 9 meters

• Height: 6 meters, Base: 10 meters

• Height: 10 meters, Base: 14 meters

• Height: 8 meters, Base: 12 meters

A rectangular room has a length that is 2 meters less than three times its width. If the area of the room is 50 square meters, what are the dimensions of the room?

• Width: 4 meters, Length: 10 meters

• Width: 6 meters, Length: 12 meters

• Width: 5 meters, Length: 13 meters

• Width: 5 meters, Length: 15 meters

A rectangular fence is to be built around a garden that is 10 meters long and 6 meters wide. If the fence costs $5 per meter, what will be the total cost of the fence?

• $80

• $200

• $160

• $120

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

• Width: 7 cm, Length: 11 cm

• Width: 5 cm, Length: 9 cm

• Width: 8 cm, Length: 12 cm

• Width: 6 cm, Length: 10 cm

A rectangular plot of land has a length of 12 meters and a width of 8 meters. If the owner wants to increase the width by 2 meters and the length by 3 meters, what will be the new perimeter of the plot?

• 40 meters

• 50 meters

• 48 meters

• 54 meters

A rectangular painting has a width that is 3 inches less than its length. If the area of the painting is 50 square inches, what are the dimensions of the painting?

• Length: 10 inches, Width: 7 inches

• Length: 12 inches, Width: 9 inches

• Length: 9 inches, Width: 6 inches

• Length: 8 inches, Width: 5 inches