Algebra 1

You are planning a rectangular patio with length that is 7 ft less than three times its width. The area of the patio is 120 ft^2. What are the dimensions of the patio?

I just need to figure out what equation to write from this. I'm thinking something along the lines of 3x^2-7=120 (from (3x-7)(x)=120).

If it is, then I would solve it like this:

3x^2-7x=120
(3x^2-7x)/3=120/3
x^2-2.33x=40
x^2-2.33x+1.36=20+1.36
(x-1.16)^2=(plus or minus the square root of)41.16
x-1.16~(plus or minus)6.42
x-1.16~6.42 OR x-1.16~-6.42
x~7.58 OR x~-5.26

Am I right?

  1. 👍
  2. 👎
  3. 👁
  1. Well, I doubt that -5.26 is a solution, but you can easily check that 7.58 works just fine.

    Don't you check your answers when you get them?

    1. 👍
    2. 👎

Respond to this Question

First Name

Your Response

Similar Questions

  1. Unknow

    A man has a rectangular garden. One length of the garden lies along a patio wall. However the rest of the garden is enclosed by 32 feet of fencing. If the length of the garden is twice its width, what is the area of the garden.

  2. math

    a person has a rectangular garden one length of the garden lies along the patio wall. however the rest of the garden is enclosed by 30 ft of fencing. if the length of the garden is three times its width, what is the area of the

  3. math

    The Davidson family wants to expand its rectangular patio, which currently measures 15 ft by 12 ft. They want to extend the length and width the same amount to increase the total area of the patio by 160 ft2. Which quadratic

  4. Math

    A brick patio has the approximate shape of a trapezoid. The patio has 16 rows of bricks. The first row has a = 13 bricks and the 16th row has b = 28 bricks. How many bricks are in the patio?

  1. math

    The length of a rectangular solid is three times the width. Find the volume and the length of its diagonal if the total surface area is 198 square inch

  2. Math

    A rectangular swimming pool is bordered by a concrete patio. The width of the patio is the same on every side. The area of the surface of the pool is equal to the area of the patio. What is the width of the patio? (Length of Pool:

  3. math

    The scale model of a rectangular patio will be enlarged by a scale factor of 2.5 to create the actual patio. The actual patio will be 15 feet by 20 feet. Which is the area of the scale model? 48 square feet 60 square feet 120

  4. math

    A scale model of a rectangular patio is 6 feet long and 3 feet wide. The actual patio is 15 feet long. What is the area of the actual patio?

  1. Algebra

    A rectangular pool measures 12 feet by 20 feet. A patio of uniform width is built around the pool. The area of both the pool and the patio together is 560 square feet. Find the width of the patio.

  2. Algebra word problem

    A family is building a rectangular patio in their backyard. The rectangular yard has dimensions of (8x+2) by (6x + 3) and they are planning the patio to be (x + 5) by (3x + 1). What is the area of the remaining yard after the

  3. math

    You are planning a vegetable garden and you lay out a rectangular design 10 feet wide by 20 feet long. After laying out the design you decide you want a larger garden and decide to increase the length of the garden by a length of

  4. math

    Ted's patio is the shape of a right triangle. Tell how he should determine the area of the patio.

You can view more similar questions or ask a new question.