Algebra One. Four questions. Please answer completely, concisely, and on the worksheet. Thank you. 

 

 

Assignment: Factor Trinomials Using Guess and Check
Follow the directions to find the missing side lengths in each problem. Be sure to show all work
necessary to find your answer.
1. A gardener is planning to plant a rectangular vegetable garden during the spring. The
rectangle below represents a plan for the garden with a width of x feet. x area = x 2 12x l
a. Find the length (l) of the rectangle if the area of the rectangle is x 2 12x . (Hint:
Factor the trinomial x 2 12x 0 using the guess and check method.) b. Find the dimensions (length × width) and the area of the garden if x = 10 feet. (Hint:
Substitute 10 for x in the expressions for length, width, and area.) © K12 Inc. 2. A city manager wants to add a playground in a new city park. The rectangle below represents the
plan for the dimensions of the rectangular playground. w area = x2 + 18x + 45 x + 15 2 a. Find the width (w) of the rectangle if the area of the rectangle is x + 18x + 45. b. Find the dimensions (length × width) and the area of the playground if x = 8 yards. © K12 Inc. 3. A construction manager needs to hire workers and order materials for building the
foundation of a house. The rectangle below represents the house’s foundation. w area = x 2 40x 300 l a. Find the length (l) and width (w) of the rectangle if the area of the rectangle is x2 40x 300 . b. Find the dimensions (length × width) and the area of the foundation if x = 20 feet. 4. Think of another real-world situation involving a rectangle.
a. Describe what the rectangle represents and find the dimensions of the rectangle in
terms of x, assuming the area is represented by the polynomial x 2 8x 9 . b. Using a specific value for x, find the dimensions (length x width) and area of the
rectangle. © K12 Inc.

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