Solving Quadratic Equations Problems Area Length and Width

Find the area of the polygon.

• x²-49

• 15x+36

• 3x+16

If the area of the given rectangle is 39 ft², find the value of x.

• 5 ft

• 11 ft

• 25 ft

• 10 ft

The length of a rectangle is 4 centimeters more than twice its width. If the perimeter of the rectangle is 86 centimeters, Find the dimensions of the rectangle.

• 13 cm, 30 cm

• 13 cm, 26 cm

• 4 cm, 26 cm

• 6 cm, 13 cm

The length of a rectangle is 4 meters more than its width. If the area of the rectangle is 60 square meters, what are the dimensions of the rectangle?

• 5 meters by 11 meters

• 8 meters by 6 meters

• 4 meters by 12 meters

• 6 meters by 10 meters

A rectangular garden has a length that is 7 feet longer than its width. Let w represent the width of the garden, in feet. The entire garden is surrounded by a 2-foot-wide walkway.

What does the expression (w + 4)(w + 11) represent?

• the area of only the garden

• the area of only the walkway

• the total area of the garden and walkway

• the perimeter of the walkway

What is the AREA of this rectangle?

• 2x +5

• 2x +10

• x² +5x

The area of a playground is 504 square yards.  The length of the playground is (x +8) and the width is (x – 2).  Find the length and width.

• 20

• -26 and 20

• 18 and 28

• 14 and 36

The length of a rectangle is 5 in. longer than its width. Which of the following polynomials represent the area of the rectangle? *Hint: Draw and label a picture

• 5x²

• 6x

• x²+5

• x²+5x

The length of a rectangle is five less than twice its width. If the perimeter of the rectangle is 56 inches, find the LENGTH.

• 17

• 11

• 6

• 15

The length of a rectangle is 5 less than twice the width. If the perimeter of the rectangle is 146 centimeters, find the dimensions of the rectangle.

• 68

• 47

• 84

• 20