Math

posted by .

A rectangular plot of land is 4 meters longer than it is wide. It's surrounded by a multicolored walk 1 m wide. The area of the walk is 32 m. What are the dimensions of the pool?

  • Math -

    area of plot = x(x+4)
    area of pool = (x-2)(x+2)

    so x(x+4) - (x-2)(x+2) = 32

    solve for x, sub into x-2 and x+2

    (I got x=7)

  • Math -

    Where did you get the x-2?

  • Math -

    If the plot is 7 m wide and there is a walkway of 1 m on either side of the pool, isn't the pool 5 m wide?
    so 7-2
    or x-2

    that is also how I got x+2 for the length of the pool, it was x+4, now take away 1 m from each side.....

  • Math -

    Thanks!

Respond to this Question

First Name
School Subject
Your Answer

Similar Questions

  1. pre calc. help!!!!!!

    i am building a rectangular swimming pool. the pool is to have a surface area of 1000 ft.^2. it also has a uniform walk way of 3 ft. surrinding it. X is the lengh of one side of the pool, and Y is te lengh of the other side. A.) express …
  2. Math

    A rectangular swimming pool is 7 meters longer then it is wide. It is surrounded by a concrete walkway 1.5 meters wide. The area of the walkway is 120 meters squared. What are the dimensions of the pool?
  3. Geometry word problem

    A rectangular pond is 10m longer than it is wide. A walk 2m wide surrounds the pond. Find the dimensions of the pond if the area of the walk is 216m2
  4. Math

    A man built a walk of uniform width around a rectangular pool. If the area of the walk is 429 square feet and the dimensions of the pool are 10 feet by 18 feet, how wide is the walk?
  5. Algaebra

    A rectangular swimming pool is 5 feet longer than it is wide. If a concrete walk 2 feet wide is placed around the pool, the area covered by the pool and the walk is 156 square feet greater than the area covered by the pool alone. What …
  6. Math

    A rectangular yard measuring 30ft by 35ft is bordered (and surrounded) by a fence. Inside, a walk that is 4ft wide goes all the way along the fence. Find the area of this walk
  7. math

    A rectangle is 12 cm longer than it is wide. a wooden walk 2 ft wide is placed around the pond. the area covered by the pond and walk is 160 ft^2 greater than the area covered by the pond alone. What are the dimensions of the pond
  8. Algebra

    I just need help setting up the equation - the rest I can do on my own: A man built a walk of uniform width around a rectangular pool. If the area of the walk is 253 square feet and the dimensions of the pool are 9 feet by 3 feet, …
  9. Math

    A rectangular swimming pool is 6 meters longer than the width of the pool. A pool deck (sidewalk) that surrounds the pool is 4 meters wide (all the way around the pool). The combined area of the pool deck and pool together (outer rectangle) …
  10. Eng, Bengali, maths, science, social science

    A rectangular swimming pool measures 15 meters by 10 meters. How wide must a concrete walk around the pool be if the walk is to cover an area of 116 square meters

More Similar Questions