College Math

5) A landscaper wants to make a small planter and surround it with edging material for a client. She is deciding between two designs.
Design 1: A square planter
Design 2: A circular planter
Edging material costs $4 per ft. for the straight variety which she would use for Design 1 and $5 per foot for the flexible variety which she would use for Design 2.

a. If she decides on a perimeter of 24 ft. Which design would give her the larger planting area?
b. If she decides to spend $120 on edging material, which Design would give her the larger planting area?

asked by Sarah
  1. (a) a circle always gives the largest area for a given perimeter.

    Among rectangles, a square gives the largest area.

    1: p = 120/4 = 30 ft
    area: 7.5^2 = 56.25
    2: c = 120/5 = 24
    area: = 45.8
    So, the expensive fencing reduces the circular area for planting.

    posted by Steve

Respond to this Question

First Name

Your Answer

Similar Questions

  1. Math

    cheryl used 1 inch thick wood to build a planter for some flowers. the planter has 4 sides and a bottom but no top. the outside dimensions are 3 feet long, 6/12 inches wide, and 6/12 inches high. cheryl wants to know how much
  2. math

    For the city park commission, you are designing a marble planter in which to plant flowers. You want the length of the planter to be six times the height and the width of to be three times the height. The sides should be one foot
  3. math

    Bob constructed a decorative planter using 4inch squares attached to a rectangular base. what is the volume of the planter/
  4. math

    Charlene is feeling a box planter with soil each bag of soil contains enough to fill 500 cubic inches at the base of the blocks planter is a 9 inch square and the sides are 18 inches tall how many bags of soil for growing need
  5. math

    filling a planter box with soil,each bag contains enough to fill 500cubic inches.if the base of the planter box is a 9 inch square & sides are 18 inches tall,how many bags of soil are needed?
  6. Math

    A flower planter is to be made from landscape ties that are 4 feet long, four inches high and six inches wide. Each planter is 4 ties high. Describe how to build the planters so that they are square
  7. math

    Charlene is filling a box planter with soil.Each bag of soil contains enough to fill 500 cubic inches.If the base of the box planter is a 9-inch square and the sides are 18 inches tall,how many bags of soil will Charlene need?
  8. Calculus

    You are creating a rectangular garden and want to surround it with brick edging. You also are going to divide it into two halves with the edging so that your vegetables and herbs are on one side and flowers are on the other. You
  9. 5th grade math

    Meg is making ribbons for the country fair. she needs to glue edging around the outside of the circular part of the ribbon shown. about how many centimeters of edging does she need? 5 cm 7 cm 9 cm 28 cm
  10. design

    In an effort to promote a better understanding of what design is and how to discuss it, your firm is having a weekly series of meetings. Within your first week, please find a design to include in your presentation that is

More Similar Questions