Algebra

posted by .

Were doing factoring and i don't get these (^ means squared)
1) m^-3m-2

2) 6c^-5c-4

3) ab+mn+an+mb

4) The length of a rectangular garden is 5ft more than the width. The garden has a 3ft wide cement walk sorrounding it. The total area of the garden and the walk is 546ft^. Find the dimensions of the garden

5) Find 2 consecutive integers such that the sum of their squares is 52

6) The perimeter of a rectangle is 22ft and the area is 24ft^. Find the dimensions of the rectangle

  • Algebra -

    4)
    GARDEN
    width = w
    length = w +5

    GARDEN w/CEMENT WALK
    width = w + 6
    length = w + 5 + 6 = w + 11

    a = 546 ft sq.
    a = lw

    a = (w+6)(w+11)
    546 = (w+6)(w+11)
    546 = w^2 + 17w + 66
    0 = w^2 + 17w - 480

    w = (-17 +/- sqrt(289 - 4(1)(-480))/2
    w = (-17 +/- sqrt(289 + 1920))/2
    w = (-17 +/- sqrt(2209))/2
    w = (-17 +/- 47)/2

    has to be + because it must be positive

    w = 30/2 = 15
    l = w + 5 = 20

  • Algebra -

    6)

    P = 22
    A = 24

    2l + 2w = 22
    lw = 24
    l = 24/w

    2(24/w) + 2w = 22
    48/w + 2w = 22
    48 + 2w^2 = 22w
    w^2 - 11w + 24 = 0
    (w - 8)(w - 3) = 0

    w = 8 or 3
    l = 3 or 8

    dimensions = 3 x 8

  • Algebra -

    3) ab+mn+an+mb
    ab + an + mn + mb
    a(b + n) + m(n+b)
    (a + m)(b + n)

  • Algebra -

    5) No solution. Obviously 4 and 5 give a sum of squares too low (41) and 5 and 6 give a sum of squares that is too high (61).

    If you had said two consecutive EVEN integers, the answer would be 4 and 6.

Respond to this Question

First Name
School Subject
Your Answer

Similar Questions

  1. math

    A rectangular garden is 15 ft wide. If its area is 1050 ft squared , what is the length of the garden?
  2. 8th grade algebra

    the length of a rectangular garden is 5 feet longer than its width. The garden is surrounded by a 2-foot-wide-sidewalk. The sidewalk has an area of 76 square feet. Find the dimensions of the garden
  3. math

    Mr. Cook wants to fence his rectangular garden which covers 100 ft squared. The width of the garden is 7 and 1/2 ft. What is the length of the garden?
  4. algebra verbal linear equation

    Allison has a square root flower garden and Lauren has a rectangular flower garden the width of the rectangular garden is 2 yards less than a side of the squaare garden and the length of the rectangular garden is 5 yards more than …
  5. algebra

    A rectangular garden, with length twice its width, is to be expanded so that both sides are increased by 3 m. a.) How would you represent the width of the original garden?
  6. Unknow

    A man has a rectangular garden. One length of the garden lies along a patio wall. However the rest of the garden is enclosed by 32 feet of fencing. If the length of the garden is twice its width, what is the area of the garden.
  7. Algebra

    The perimeter of a rectangular garden is 35 feet. The length of the garden is 1 foot more than 2 times its width. Write an equation to represent the perimeter of the garden in terms of its width (w). What are the length and width of …
  8. Algebra

    Leo's garden, which is 6m wide, has the same area as Jen's garden, whichis 8m wide. Find the length of the two rectangular gardens if Leo's garden is 3m longer than Jen's garden.
  9. math

    Ricky is building a rectangular garden with an area of 100 square feet. He wants the length of the garden to equal 4 feet more than 2 times the width. Enter an equation that expresses the area of the garden in terms of the width, w, …
  10. math

    a person has a rectangular garden one length of the garden lies along the patio wall. however the rest of the garden is enclosed by 30 ft of fencing. if the length of the garden is three times its width, what is the area of the garden

More Similar Questions