Area Quadratics

The length of a rectangle is (x + 9) and the width is (x + 5). What is the area of the rectangle as a quadratic equation?

• y = x² + 14x + 45

• y = x² + 9x + 45

• y = x² + 14x + 14

• y = x² + 20x

The length of a rectangle is 2 units more than the height.

Given the total area is 80, which equation is correct

• x(x+2) = 80

• x(x+2) = 40

• x+(x+2) = 80

• 2(x+(x+2)) = 80

What is the Area?

• 2x² - 3x - 18 inches²

• 2x² + 3x + 18 inches²

• 2x² + 9x - 18 inches²

• 2x² - 9x - 18 inches²

The length of a rectangle is 5 less than the width. Which polynomial describes the area of the rectangle.

• w² + 5w

• w² - 5w

• 5w²

• 5w² -5

Joe wants to make a path around the outside of his garden, which is 50’ x 70’. If the path is of uniform width and the entire garden and path combined are to cover 4524 square feet, how wide should the path be?

• 4 feet

• 8 feet

• 58 feet

• 78 feet

If the quadratic has THREE TERMS, what step is next?

• Factor using Area Model and X, if possible.

• Ask: Is it a Difference of Two Squares?

• The work is done.

• Write the area as a sum.

Write the area as a product?

Write the area as a sum?