Quadratic Rectangle Word Problems

If you square 5 more than a positive number, the result is 88 more than 12 times the number.  Find the numbers.

• -9, 7

• √75

• 9, -7

• 15, -5

An object in launched directly upward at 64 feet per second (ft/s) from a platform 80 feet high. Its height is represented by the equation s(t) = –16t² + 64t + 80. What will be the object's maximum height? 

• 2 ft

• 80 ft

• 144 ft

• 64 ft

If you square 5 more than a positive number, the result is 88 more than 12 times the number. Find the number.

• 7

• -7

• 9

• -9

The original plan for Mr. Harris’s house is a rectangle that measures 40’ x 50’. Because of an increase in cost, the square footage of the house must be decreased to 1739 square feet. To do this, the length and width will be decreased by the same amount. By how much should they be decreased?

• 6 ft

• 43.5 ft

• 3 ft

• 1.5 ft

• A

• B

• C

• D

Answer to part c is....

• 7x²+41x+24

• 12x²+32x+24

• 12x²+41x+24

• 12x²+41x+16

A farmer has 50 feet of fencing to enclose a rectangular garden with an area of exactly 144 square feet. The area of the garden can be modeled by the equation x(25 - x) -144  where x represents the length and width of the garden. Does he have enough fence to enclose the garden?

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There is a table with a width of 3 feet less than its length and an area of 10 square feet. Write and solve an equation to determine the length and width of the table. What is the perimeter of the rectangle?

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