Solving Quadratic Area Problems in Rectangles

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?

• Width: 6 meters, Length: 9 meters

• Width: 5 meters, Length: 8 meters

• Width: 8 meters, Length: 11 meters

• Width: 7 meters, Length: 10 meters

The area of a rectangular swimming pool is 120 square meters. If the length is twice the width, what are the dimensions of the pool?

• Width: 3 meters, Length: 6 meters

• Width: 5 meters, Length: 10 meters

• Width: 2 * sqrt(15) meters, Length: 4 * sqrt(15) meters

• Width: 4 meters, Length: 8 meters

A rectangular field has a length that is 5 meters less than twice its width. If the area of the field is 150 square meters, find the dimensions of the field.

• Width: 10 meters, Length: 15 meters

• Width: 8 meters, Length: 14 meters

• Width: 12 meters, Length: 18 meters

• Width: 5 meters, Length: 10 meters

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

• 12 inches by 8 inches

• 8 inches by 4 inches

• 10 inches by 6 inches

• 14 inches by 10 inches

The length of a rectangular classroom is 2 meters more than its width. If the area of the classroom is 48 square meters, determine the dimensions of the classroom.

• Width: 5 meters, Length: 9 meters

• Width: 7 meters, Length: 9 meters

• Width: 6 meters, Length: 8 meters

• Width: 4 meters, Length: 10 meters

A rectangular plot of land has a length that is 6 meters longer than its width. If the area of the plot is 72 square meters, what are the dimensions of the plot?

• Width: 5 meters, Length: 11 meters

• Width: 6 meters, Length: 12 meters

• Width: 7 meters, Length: 13 meters

• Width: 8 meters, Length: 10 meters

The area of a rectangular room is 200 square feet. If the length is 10 feet more than the width, what are the dimensions of the room?

• Width: 20 feet, Length: 30 feet

• Width: 15 feet, Length: 25 feet

• Width: 5 feet, Length: 15 feet

• Width: 10 feet, Length: 20 feet

A rectangular piece of land has a width that is 3 meters less than its length. If the area of the land is 54 square meters, find the dimensions of the land.

• Length: 10 meters, Width: 5 meters

• Length: 8 meters, Width: 7 meters

• Length: 7 meters, Width: 4 meters

• Length: 9 meters, Width: 6 meters

A rectangular garden has a length that is 5 meters longer than its width. If the area of the garden is 60 square meters, what are the dimensions of the garden?

• Width: 7 meters, Length: 12 meters

• Width: 5 meters, Length: 10 meters

• Width: 4 meters, Length: 9 meters

• Width: 6 meters, Length: 11 meters

The area of a rectangular box is 150 square inches. If the length is 5 inches more than the width, what are the dimensions of the box?

• Width: 10 inches, Length: 15 inches

• Width: 5 inches, Length: 10 inches

• Width: 12 inches, Length: 17 inches

• Width: 8 inches, Length: 13 inches