Solving Real-Life Quadratic Problems with Formulas

A rectangular garden has a length that is 3 meters longer than its width. If the area of the garden is 70 square meters, what are the dimensions of the garden?

• Length: 9 meters, Width: 6 meters

• Length: 10 meters, Width: 7 meters

• Length: 8 meters, Width: 5 meters

• Length: 12 meters, Width: 9 meters

The length of a rectangular swimming pool is twice its width. If the area of the pool is 288 square meters, find the length and width of the pool.

• Length: 24 meters, Width: 12 meters

• Length: 36 meters, Width: 18 meters

• Length: 30 meters, Width: 15 meters

• Length: 18 meters, Width: 9 meters

A rectangular field's length is 5 meters more than its width. If the area of the field is 60 square meters, determine the dimensions of the field.

• Width: 6 meters, Length: 9 meters

• Width: 4 meters, Length: 8 meters

• Width: 7 meters, Length: 12 meters

• Width: 5 meters, Length: 10 meters

A rectangular picture frame has a width that is 4 inches less than its length. If the area of the frame is 96 square inches, what are the dimensions of the frame?

• Length: 10 inches, Width: 6 inches

• Length: 12 inches, Width: 8 inches

• Length: 14 inches, Width: 10 inches

• Length: 8 inches, Width: 4 inches

The length of a rectangular classroom is 2 meters less than three times its width. If the area of the classroom is 120 square meters, find the length and width.

• Width: 8 meters, Length: 22 meters

• Width: 6.67 meters, Length: 19 meters

• Width: 5 meters, Length: 15 meters

• Width: 10 meters, Length: 30 meters

A rectangular plot of land has a length that is 6 meters more than its width. If the area of the plot is 72 square meters, calculate the dimensions of the plot.

• Width: 6 meters, Length: 12 meters

• Width: 8 meters, Length: 10 meters

• Width: 4 meters, Length: 10 meters

• Width: 5 meters, Length: 11 meters

The width of a rectangular book cover is 2 inches less than its length. If the area of the cover is 50 square inches, what are the dimensions of the cover?

• Length: 10 inches, Width: 8 inches

• Length: 6 inches, Width: 4 inches

• Length: 8 inches, Width: 6 inches

• Length: 7 inches, Width: 5 inches

A rectangular garden has a length that is 4 meters longer than its width. If the area of the garden is 96 square meters, find the dimensions of the garden.

• Width: 5 meters, Length: 9 meters

• Width: 6 meters, Length: 10 meters

• Width: 10 meters, Length: 14 meters

• Width: 8 meters, Length: 12 meters

The length of a rectangular room is 3 meters more than its width. If the area of the room is 54 square meters, determine the dimensions of the room.

• Width: 4 meters, Length: 7 meters

• Width: 6 meters, Length: 9 meters

• Width: 5 meters, Length: 8 meters

• Width: 7 meters, Length: 10 meters

A rectangular pool has a width that is 5 feet less than its length. If the area of the pool is 150 square feet, what are the dimensions of the pool?

• Length: 18 feet, Width: 13 feet

• Length: 10 feet, Width: 5 feet

• Length: 12 feet, Width: 8 feet

• Length: 15 feet, Width: 10 feet