A Rectangular Patio Is 9Ft By 6Ft

Question: A rectangular patio is 9 ft by 6 ft. When the length and width are increased by the same amount, the area becomes 88 sq ft. Ginger is using the zero product property to solve the equation (6 + x)(9 + x) = 88. What do her solutions represent?

Answer: D. two possible amounts by which the dimensions were increased

Question: A rectangular deck is 12 ft by 14 ft. When the length and width are increased by the same amount, the area becomes 288 sq. ft. By how much were the dimensions increased?

Answer: B. 4 ft

Question: The hypotenuse of a right triangle is 52 in. One leg of the triangle is 8 in. more than twice the length of the other. What is the perimeter of the triangle?

Answer: C. 120 in.

Question: The solutions to the equation 2x^2+x-1+2 are -3/2 or x=_____

Answer: 1

Question: The square of 9 less than a number is 3 less than the number. What is the number?

Answer: D. 7 or 12

Question: A rectangular field has an area of 1,764 m2. The width of the field is 13 m more than the length. What is the perimeter of the field?

Answer: D. 170 m

Question: Use the zero product property to find the solutions to the equation x2 + 12 = 7x.

Answer: D. x = 3 or x = 4

Question: The profit a company makes from producing x tabletops is modeled by the equation P(x) = 480x - 2x2. For what number of tabletops does the company make a profit of $0?

Answer: C. 240 tabletops

Question: What are the solutions to the equation 3(x - 4)(x + 5) = 0?

Answer: D. x = 4 or x = -5

Question: What are the solutions to the equation (2x - 5)(3x - 1) = 0?

Answer: C. x =5/2 or x = 1/3