Solving Area and Perimeter Problems in Geometry

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: 6 meters, Length: 9 meters

• Width: 4 meters, Length: 7 meters

• Width: 5 meters, Length: 8 meters

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

• 16 meters

• 32 meters

• 40 meters

• 24 meters

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

• 100 meters

• 40 meters

• 80 meters

• 60 meters

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

• Width: 8 meters, Length: 13 meters

• Width: 10 meters, Length: 15 meters

• Width: 12 meters, Length: 17 meters

• Width: 5 meters, Length: 10 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: 8 meters, Base: 12 meters

• Height: 6 meters, Base: 10 meters

• Height: 10 meters, Base: 14 meters

• Height: 5 meters, Base: 9 meters

A rectangular classroom has a length that is 2 meters less than three times its width. If the area of the classroom is 120 square meters, what is the perimeter of the classroom?

• 15 meters

• 16.66 meters

• 20 meters

• 18 meters

A rectangular piece of land has a length that is 10 meters more than its width. If the area of the land is 200 square meters, calculate the perimeter of the land.

• 50 meters

• 60 meters

• 70 meters

• 80 meters

A square garden has a perimeter of 40 meters. What is the area of the garden?

• 100 square meters

• 50 square meters

• 80 square meters

• 25 square meters

A rectangular room has a length of (2x + 4) meters and a width of (x + 2) meters. If the area of the room is 48 square meters, find the dimensions of the room.

• Length: 8 meters, Width: 4 meters

• Length: 5 meters, Width: 9 meters

• Length: 6 meters, Width: 6 meters

• Length: 10 meters, Width: 3 meters

A rectangular plot of land has a length that is 5 meters longer than its width. If the perimeter is 50 meters, what are the dimensions of the plot?

• Width: 12 meters, Length: 17 meters

• Width: 10 meters, Length: 15 meters

• Width: 5 meters, Length: 10 meters

• Width: 8 meters, Length: 13 meters