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: 24 Width of Pool: 16)

  1. 👍 0
  2. 👎 0
  3. 👁 1,732
  1. let the width of the border be x units
    length of whole thing = 24+2x
    width of whole thing = 16+2x

    area of whole thing = (24+2x)(16+2x)

    since pool = patio
    whole thing = twice pool
    (24+2x)(16+2x) = 2(24)(16)

    solve the quadratic

    1. 👍 1
    2. 👎 5
  2. ty

    1. 👍 0
    2. 👎 0

Respond to this Question

First Name

Your Response

Similar Questions

  1. 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?

  2. 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

  3. Math

    A concrete patio is 5 2/3 ft wide. It has an area of 36 5/6 square ft. Is the concrete slab long enough to fit a 7-foot picnic table without placing the table along the diagonal of the patio? so far i have 221/6 / 34/6 = 221/34 =

  4. 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

  1. math

    A deck is being built around a rectangular swimming pool. The swimming pool is 20 ft × 12 ft and the deck has a uniform width of 6 ft. What is the area of the deck only?

  2. 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?

  3. math

    The shape of a patio is trapezoidal with a height of 10 ft and bases of 19 ft and 13 ft. What is the cost of outdoor carpeting to cover the patio if the carpeting costs $1.50 per ft2?

  4. Algebra

    A rectangular swimming pool is twice as long as it is wide. A small concrete walkway surrounds the pool. The walkway is a constant 2 feet wide and has an area of 196 square feet. Find the dimensions of the pool.

  1. geometry

    a rectangular patio is 13 feet by 84 feet. In walking from one corner of the patio to the opposite corner, how much distance is saved by cutting diagonally across the patio rather than walking around the outer edge?

  2. math

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

  3. Algebra

    Pls help me with these problem solving sums ----------------------------------------- 1)You are building a rectangular brick patio surrounded by crushed stone in a rectangular courtyard.The crushed stone border has a uniform width

  4. Maths

    A rectangular swimming pool measures 15m by wide must a concrete walk around the pool be if the walk is to have a perimeter of 66m.

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