Solving Area Problems with Quadratics and Word Interpretation

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: 8 meters, Length: 11 meters

• Width: 7 meters, Length: 10 meters

• Width: 5 meters, Length: 8 meters

A rectangular swimming pool has a width of x meters and a length of 2x meters. If the area of the pool is 128 square meters, find the dimensions of the pool.

• Width: 6 meters, Length: 12 meters

• Width: 10 meters, Length: 20 meters

• Width: 4 meters, Length: 8 meters

• Width: 8 meters, Length: 16 meters

The area of a triangular park is given by the formula A = 1/2 * base * height. If the base is 4 meters longer than the height and the area is 48 square meters, what are the dimensions of the park?

• Height: 8 meters, Base: 12 meters

• Height: 5 meters, Base: 9 meters

• Height: 10 meters, Base: 14 meters

• Height: 6 meters, Base: 10 meters

A rectangular field's length is twice its width. If the area of the field is 200 square meters, what are the dimensions of the field?

• Width: 12 meters, Length: 24 meters

• Width: 8 meters, Length: 16 meters

• Width: 10 meters, Length: 20 meters

• Width: 5 meters, Length: 15 meters

A farmer wants to create a rectangular pen for his sheep. If the length is 5 meters more than the width and the area is 60 square meters, what are the dimensions of the pen?

• Length: 10 meters, Width: 5 meters

• Length: 12 meters, Width: 4 meters

• Length: 15 meters, Width: 10 meters

• Length: 8 meters, Width: 3 meters

The area of a square is represented by the equation A = s^2, where s is the length of a side. If the area is 144 square meters, what is the length of one side?

• 16 meters

• 10 meters

• 12 meters

• 14 meters

A rectangular plot of land has a length that is 4 meters less than twice its width. If the area of the plot is 96 square meters, find the dimensions of the plot.

• Length: 14 meters, Width: 6 meters

• Length: 10 meters, Width: 9 meters

• Length: 8 meters, Width: 12 meters

• Length: 12 meters, Width: 8 meters

A rectangular box has a length that is 3 times its width. If the area of the base of the box is 75 square meters, what are the dimensions of the box?

• Width: 10 meters, Length: 30 meters

• Width: 7 meters, Length: 21 meters

• Width: 4 meters, Length: 12 meters

• Width: 5 meters, Length: 15 meters

The area of a rectangle is given by the equation A = lw, where l is the length and w is the width. If the length is 10 meters and the area is 150 square meters, what is the width?

• 20 meters

• 8 meters

• 12 meters

• 15 meters

A rectangular garden has a length that is 2 meters longer than its width. If the area of the garden is 48 square meters, what are the dimensions of the garden?

• Width: 6 meters, Length: 8 meters

• Width: 5 meters, Length: 7 meters

• Width: 8 meters, Length: 10 meters

• Width: 4 meters, Length: 6 meters