A2: 3/3 Notebook Quiz

Quadratic Equation Applications: Example #1

The width of a rectangle is six meter less than its length. If the area of the rectangle is 112 square meters, find the dimensions of the rectangle.

• 14 x 8 m

• 2 x 56 m

• 16 x 7 m

• 28 x 4 m

Quadratic Equation Applications: Example 2

The length of a rectangle is one foot more than twice its width. If the area of the rectangle is 300 square feet, find the dimensions of the rectangle.

• 2 x 150 ft

• 12 x 25 ft

• 50 x 6 ft

• 30 x 10 ft

Quadratic Equation Applications: Example #3

The dimensions of a rectangle can be expressed as x + 6 and x - 2. If the area of the rectangle is 65 square inches, find the dimensions of the rectangle.

• 16.25 x 4 in

• 32.5 x 2 in

• 65 x 1 in

• 13 x 5 in

Quadratic Equation Applications: Example 7

Ken has a rectangular shaped vegetable garden that is 15 feet by 9 feet. He would like to increase the length and width by the same amount, x, so the new garden is twice the current area. Find the value of x to the nearest tenth of a foot.

• 6.9 ft

• 4.7 feet

• 28.7 ft

• 4.2 ft

Quadratic Equation Applications: Example 9

Find the smallest of two consecutive positive odd integers such that the square of the smaller integer, added to 3 times the larger integer, is 24.

• 1

• 3

• 5

• 7

Quadratic Equation Applications: Example 10

Find the product of three consecutive positive integers such that the product of the median integer and the largest integer is 72.

• 336

• 720

• 504

• 210