Solving Quadratic Equations Problems Area Length and Width

The area of a playground is 336 yd2 . The width of the playground is 5 yd longer than its length. 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

A rectangle has an area of 24 square units. The width is 5 units less than the length. What is the length, in units, of the rectangle? 

• 6
• 8
• 3
• 19

What is the quadratic equation that represents the problem given?

• 63 = L(2W + 11)

• 63 = L(2L + 11)

• 63 = W(2W + 11)

• 63 = W(2W - 11)

Write the quadratic equation that represents the problem given?

• 65 = W(3W -2)

• 65 = L(2L - 3)

• 65 = 2W(3W)

• 65 = W(2W-3)

Write the quadratic equation that represents the problem given?

• 77 = W(2W + 3)

• 77 = L(2L + 3)

• 77 = W(3W + 2)

• 77 = W(2W - 3)

The outside of a picture frame has a length which is 8 cm more than width. The area enclosed by the outside of the picture frame is 65 square cm. Find the width of the outside of the picture frame.

• 5 cm
• 8 cm
• 21 cm
• 13 cm

A rectangle has an area of 24 square units. The width is 5 units less than the length. What is the length, in units, of the rectangle? 

• 6
• 8
• 3
• 19

Suppose you have 54 feet of fencing to enclose a rectangular dog pen. The function A = 27x − x ² , where x = width, gives you the area of the dog pen in square feet. What width gives you the maximum area? What is the maximum area? Round to the nearest tenth as necessary.

• width = 27 ft; area = 182.3 ft² 
• width = 27 ft; area = 391.5 ft² 
•  width = 13.5 ft; area = 546.8 ft² 
•  width = 13.5 ft; area = 182.3 ft² 

True or false:
The solution, root, x-intercept, and zero of a problem are all the same thing

• True
• False, because the solution and root are the same but the x-intercept and zero are different
• False, because the x-intercept and root are the same but the zero and solution are different
• False, they are all different

Standard form of a quadratic equation

• y=x²
• y=ax²+bx+c
• y=mx+b
• y=x