Algebra

posted by .

You are planning to build a walkway that surrounds a rectangular garden that is 10ft by 9ft. The width of the walkway around the garden is unknown, but it will be the same on every side.
a)what is the perimeter of the walkway along the outer edge ?
b) what is the combined area of the garden and the walkway ?
c)find the combined area when the width of the walkway is 4ft

  • Algebra -

    garden:
    length = 10 ft
    width = 9 ft

    garden including walkway:
    length = 10+2x
    width = 9+2x

    a) perimeter = 2(10+2x) + 2(9+2x)
    = 20 + 4x + 18 + 4x
    = 8x + 38

    b) area of whole thing
    = (10+2x)(9+2x)
    = 90 + 38x + 4x^2

    c) when x=4
    area according to formula = 90 + 38(4) + 4(4^2) = 306

    area using arithmetic:
    length = 18
    width = 17
    area = 18x17=306

  • Algebra -

    The length of a rectangular rug is twice its width. The rug is centered in a rectangular room. Each edge is 3ft. From the nearest wall. What is the area of the room?

Respond to this Question

First Name
School Subject
Your Answer

Similar Questions

  1. Algebra

    A rectangle garden is to be surrounded by a walkway of constant width. The garden's dimensions are 30ft by 40ft. The total area, garden plus walkway, is to be 1800ft^2. What must be the width of the walkway to the nearest thousandth?
  2. Trig

    Please EXPLAIN the steps on how to solve these problems. Please provide detailed steps. A rectangle picture is 12 by 16 inches. If a frame of uniform width contains an area of 165 square inches, what is the width of the frame?
  3. MATH: Pre-Cal/Trig

    The length of a rectangular flower garden is 6 more feet than its width. A walkway 3 feet wide surrounds the outside of the garden. The total area of the walkway itself is 288 square feet. Find the dimensions of the garden.
  4. math word problem

    A rectangle garden is 30 ft by 40 ft. Part of the garden is removed in order to install a walkway of uniform width around it. The area of the new garden is one-half the area of the old garden. How wide is the walkway?
  5. math

    You are planning to build a walkway that surrounds a rectangular garden that is 10ft by 9ft. The width of the walkway around the garden is unknown, but it will be the same on every side.
  6. math

    Mrs. Clarkson designed a rectangular garden with a length of 15 meters and a width of 8 meters. She plans to build a walkway through the garden from one corner to the next. What measure is closest to the length of the diagonal walkway?
  7. Algebra 1

    Adam wants to create a square garden with a walkway on all four sides. The width of the walkway is 4 feet. Write a function to represent the area of the garden in terms of the length of one side of the walkway, x. ?
  8. Algebra 2

    Liz has a rectangular garden with a walkway around the edge. with the walkway included the entire garden area has a 20 foot length and an 18 foot width. At the edge of the walkway it is twice as wide as it is at the edge of the width. …
  9. Algebra

    A garden is 6 m by 10 m long. The garden is to be surrounded by a walkway that is of equal width on all sides. The perimeter around the outside of the walkway and the garden together is 60.8 m. Find the width of the walkway.
  10. Algebra II

    Sierra planted a 12ft. by 10ft. flower garden in her backyard. She put a gravel walkway of uniform width around it. How wide was the walkway if she used 168ft^2 of gravel?

More Similar Questions