Solving Word Problems Quadratic Equations Area Length and Width

The area of a rectangular field is 5X² -17X +6 m². The length is X-3. What is the width of the field in meters?

• 5X +2

• 5X - 2

• 3

• -9

The area of a garden is X² -120X + 3500 ft². What are the expressions for the length and width in terms of feet?

• X + 50, X + 80

• X - 50 , X +70

• X - 50, X - 70

• 50, 70

The area of a square table is 16X² + 24X + 9. What is the side length of the table top in terms of x?

• 3X + 4 units

• 4X + 3 units

• 8X + 3 units

• 12 feet

If you square 5 more than a positive number, the result is 88 more than 12 times the number. Find the number.

• 7

• -7

• 9

• -9

A picture is square with sides of 15 cm. If it is to be enlarged so that the area of the picture is doubled, how much will the length be increased?

• the length will be doubled

• the length will be multiplied by 4

• the length will be multiplied by √2

• the length will stay the same

The length of a rectangle is 4 cm more than its width. The area of the rectangle is 96 sq. cm. Find its dimensions.

• 4 cm by 8 cm

• 6 cm by 10 cm

• 8 cm by 12 cm

• 10 cm by 14 cm

The length of a rectangle is 1 m longer than 3 times its width. The area is 80 m² . Find the dimensions of this rectangle.

• 4m by 13m

• 5m by 16m

• 6m by 19m

• 7m by 22m

The length of a rectangle is 3 times its width. If the width is increased by 2 cm and the length is increased by 4 cm, its area will be doubled. Find the original dimensions of the rectangle.

• 7cm by 21cm

• 6cm by 18cm

• 5cm by 15cm

• 4cm by 12cm

The perimeter of a rectangle is 30 cm. Its area is 54 cm² . Find the dimensions of this rectangle.

• 5 cm by 10 cm

• 6 cm by 9 cm

• 7 cm by 8 cm

• 11 cm by 4 cm

What is this formula?

• This is the standard formula.

• This is the quadratic formula.

• This is the square root formula.

• This is the Pythagorean formula