A rectangular garden has an area if

A.) Write the area as the product of two binomials with integer coefficients

B.) the garden is to be completely enclosed by a path 1 m wide. find and simplify an expression for the area of the path

C.) the path is concrete, poured to a depth of 10 cm. calculate the volume in m^3 of concrete used if a=6

  1. 👍 1
  2. 👎 0
  3. 👁 995
  1. I think you meant
    12a^2 - 5a - 2 = (3a-2)(4a+1)

    After the path, each dimension is increased by 2, so the new total area is

    (3a-2+2)(4a+1+2) = (3a)(4a+3)
    Now subtract the original area to get the area of the path:

    now just simplify that

    Finally, just plug in a, recalling that the volume

    v = (a)(.10) m^3

    1. 👍 3
    2. 👎 0

Respond to this Question

First Name

Your Response

Similar Questions

  1. Math

    1. A gardener has 140 feet of fencing to fence in a rectangular vegetable garden. Find the dimensions of the largest area he can fence. Find the possible rectangular area he can enclose. 2. Suppose a farmer has a large piece of

  2. math

    A farmer has 90 meters of fencing and would like to use the fencing to create a rectangular garden where one of the sides of the garden is against the side of a barn. Let L represent the varying length of the rectangular garden

  3. math

    ty uses 20ft of fencing to make a rectangular garden.he devides the rectangle into 4 equal squares all in 1 row.the side of each row is 2ft long.what is the area of the garden? i dont know how show representations,or write an

  4. Algebra

    A gardener is putting a wire fence along the edge of his garden to keep animals from eating his plants. -If he has 20 meters of fence, what is the largest rectangular area he can enclose? -What quadratic function represents the

  1. Mathematics

    Mary wants to build a fence around a rectangular area for a garden. She has 150 ft of fencing and she wants to leave 10 ft opening on side for a gate. In order to make a area of the garden. A maximum what should the dimensions of

  2. Math

    A gardener has 120 ft of fencing to fence in a rectangular garden. one side of the garden is bordered by a river and so it does not need any fencing. 1. what dimensions would guarantee a garden with an area of 1350 ft^2? 2. What

  3. Algebra II Honors

    A rectangular garden is 25 feet long by 10 feet wide. You have enough mulch to cover 1000 square feet. You would like to extend both the length and the width of the garden by x feet to use up all of the mulch. Write an equation to

  4. Math

    Mrs Harvey Wants To Put a 50 m Long Fence around Her Rectangular Garden. She Only Needs To Fence In 3 Sides Because The Other Side Is Alongside Her House. (a) Write an Expression For y In Terms of x (b) Write an Expression For The

  1. MATHS

    A garden is 50 meters wide and 120 meters long. There is a pathway that runs along the perimeter inside the garden. If the area of the pathway is half of the area of the garden, then the width of the pathway is ....? meters.

  2. Math

    Mr. Hernandez asked his students to estimate the area of the circular garden in front of the school. If the radius of the garden is 7 feet, which statement is closest to the area of the garden

  3. math

    A rectangular garden plot 16m by 24m is to bordered by a strip of uniform width X m wide on the outside, so as to double the area, find the new length and breadth of the rectangular garden

  4. Math

    James often helps his grandfather weed the garden. The rectangular garden has a perimeter of 68 metres. The length is 26 metres longer than the breadth. What is the area of the garden?

You can view more similar questions or ask a new question.