math-DUE TONIGHT PLEASE HELP

posted by .

Robert has a rectangular garden that is currently 180ft^2 and has a perimeter of 54ft He wants to increase the size of his garden by 5 ft in both directions. What will be the area of his expanded garden?

A)
340
B)
74
C)
135
D)
900

  • math-DUE TONIGHT PLEASE HELP -

    let the width be x
    let the length be y

    so we know 2x + 2y = 54
    x + y = 27
    and y = 27-x

    new width = x+5
    new length = y+5 = 27-x + 5 = 32-x

    Isn't area = length x width ?
    old garden:
    x(27-x) = 180
    -x^2 + 27x - 180 = 0
    x^2 - 27x + 180 = 0
    (x-15)(x-12) = 0
    x = 15 or x = 12
    then y = 12 or y = 15 (symmetric solution)

    so the garden was 15 by 12

    take it from there

Respond to this Question

First Name
School Subject
Your Answer

Similar Questions

  1. Geometry WP

    Robert has a rectangular garden that is currently 195 and has a perimeter of He wants to increase the size of his garden by 4 ft in both directions. What will be the area of his expanded garden?
  2. math

    A rectangular garden has a length of 5 units and a perimeter of 16 units . A. Draw a diagram of the garden . B. Find the width of the garden . C. Find the area of the garden .
  3. geometry

    Sam has a rectangular garden plot that measures 10 feet by 25 feet. He plans to increase the size of the garden next year. The new dimensions will be 5 times the size of the dimensions of this year’s garden. What will the impact …
  4. math

    a gardener is planning to make a rectangular garden with an area of 80ft^2.she has 12 yards of fencing to put around the perimeter of the garden.what should the dimension of the garden be ?
  5. Math

    The dimensions of Mrs. Singleton's square garden are dilated using a scale factor of 3. What is the relationship between the area of the new garden and the old garden?
  6. math

    Harry planned a rectangular garden that was 40 feet long and 10 feet wide. A. What was the perimeter, in feet, of the garden that Harry planned?
  7. math

    Jim is putting up fence posts around a rectangular garden. He used 50 posts and placed them 2 feet apart. The length of the garden is 30 feet. What is the perimeter of the garden?
  8. cne

    A rectangular garden measures 3 feet by 15 feet. The gardener decides to extend the garden 1 foot in each of the four directions. What is the perimeter of the new garden in feet?
  9. maths

    a rectangular garden has a side length [x] and breadth[y].the perimeter of the garden is 18m and its area is 20m squared.calulate the dimensions of the garden
  10. maths

    a rectangular garden has a side length [x] and breadth[y].the perimeter of the garden is 18m and its area is 20m squared.calculate the dimensions of the garden

More Similar Questions