Solving multi-step problems using quadratic equations in one variable

The area of a playground is 336 yd². The width of the playground is (x+5) yards and the length is (x) yards. Find the length and width of the playground

• length = 26 yd, width = 21 yd

• length = 21 yd, width = 26 yd

• length = 21 yd, width = 16 yd

• length = 16 yd, width = 21 yd

Keira is creating a rectangular quilt and the length is equal to five inches less than the width. The perimeter is 30 inches. What are the dimensions of the quilt

• width = 10 and length = 5
• Width = 5 and length = 10
• Width = 5 and length = 30
• Width = 30 and length = 5

The area of a garden is 96 m². Suppose the length of the garden is 4 m more than its width. What will be the equation of the problem?

The length of a swimming pool is twice as long as it is wide.  A small concrete walkway surrounds the  pool.  The walkway is a constant 3 feet wide and has an area of 216 square feet.  Find the area of the pool. (Hint:  find the dimensions first.)  

• 338 ft²
• 512 ft²
• 200 ft²
• 32 ft²

A 13 ft. ladder is leaning against the house. The top of the ladder touches the house at 10 feet above the ground. How far away is the bottom of the ladder from the house?

• 10 feet

• 7.5 feet

• 8.3 feet

• 3.8 feet

Mrs. Ishimitsu is installing a rubber bumper around the edge of her coffee table. The dimensions of the rectangular table are (2x² – 16) feet and (–x² + 4x + 1) feet. Which expression represents the total perimeter of the table, and if x = 3, what is the length of the entire rubber bumper?

• x² + 4x – 15; 3 feet

• x² + 4x – 15; 6 feet

• 2x² + 8x – 30; 6 feet

• 2x² + 8x – 30; 12 feet

The length of a rectangle is 4 inches more than twice the width. If the perimeter of the rectangle is 38 inches, what is the length?

• 5

• 6

• 14

• 15

Ritu can row downstream 20 km in 2 hours and upstream and 44 km in 2 hours find the speed of rowing in still water and the speed of the current respectively.

• 6km/h and 4km/h

• 6km/h and 8km/h

• 4km/h and 8km/h

The formula P = 2(l) + 2(w) can be used to find the perimeter of a rectangle. Which expression represents the perimeter of the rectangle shown?

• 1/2x² + 18x - 14

• x² + 18x - 14

• x² + 10x + 14

• 19x - 4