Solving Quadratic Equations Problems Area Length and Width

The length of a rectangle is 7 inches more than its width, its area is 228 square inches. Determine the length of the given rectangle.

• 18 m

• 19 m

• 20 m

• 21 m

Translate: The square of a number is one hundred fifty more than five times a number.

• x² = 5x + 150

• x² = 5x + 50

• 2x = 5x + 150

• x² = 5x + 15

Which of the following is a key step in solving real-world quadratic problems?

• Isolating the variable

• Ignoring the variable

• Graphing the equation

• Using logarithms

Select the solutions to the equation

4x² + 11x + 7 = 0

• x = - 1.75

• x = 6

• x = - 1

• x = 1

The quadratic function y = -2x² + 4x + 6 is pictured. What are the solutions to the equation 7.5 = -2x² + 4x + 6?

• x = 0.5

• x = 1.5

• x = 1

• x = 8

• x = 6

The length of a rectangular garden is 10 yards more than its width. If the area of the garden is 600 square yards, find the length & width of the garden.

• The length is 30 & the width is 20

• The length is 20 & the width is -30

• The length is 60 & the width is 10

• The length is 24 & the width is 25

Find the area of the shaded region.

• 4x² + 2x

• x² + x

• 3x² + x

• 5x² + 3x

The area of a garden is given by the trinomial x² + 14x + 48. One of the sides of the garden measures (x + 6) inches. What is the dimension of the other side?

• (x + 6)

• (x + 7)

• (x + 8)

• (x + 9)

The length of a rectangle is 4 meters more than its width. The area of the rectangle is 60 square meters. Find the dimensions of the rectangle.

• Width: 5 meters, Length: 12 meters.

• Width: 7 meters, Length: 9 meters.

• Width: 8 meters, Length: 14 meters.

• Width: 6 meters, Length: 10 meters

Write a polynomial that represents the area of the shaded region in the diagram.