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31 December, 18:26

Mr jones is planning to pant grass and place afence in a small area for his dog. The rectagular dimension are 12*15 feet. The grass costs 50 cents per square foot. The small fence costs $8.00 per linear foot.

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  1. 31 December, 20:34
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    A) The total feet needed for the fence total perimeter is 54 feet

    B) The total cost of fence is $432

    C) The square feet of grass needed foe the total area is 180 square feet

    D) The total cost of the project is $572

    Step-by-step explanation:

    Given as:

    The dimension of rectangular field

    Length of rectangular field = L = 12 feet

    width of rectangular field = w = 15 feet

    The cost of grass per square foot = 50 cents = $0.5 (∵ 1 cents = $0.01)

    The cost of small fence = $8 per linear foot

    Now, According to question

    A) Let The total feet needed for the fence total perimeter = A feet

    ∵ Perimeter of rectangular field = 2 * Length + 2 * width

    Or, A = 2 * L + 2 * w

    Or, A = 2 * 12 feet + 2 * 15 feet

    Or, A = 24 feet + 30 feet

    ∴ A = 54 feet

    So, The total feet needed for the fence total perimeter = A = 54 feet

    B) Let The total cost of fence = $B

    So, The total cost of fence = The cost of small fence * perimeter of fence

    i. e B = $8 * 54 feet

    ∴ B = $432

    So, The total cost of fence = B = $432

    C) Let the square feet of grass needed foe the total area = C square feet

    ∵The Area of rectangular fence = Length * width

    Or, The square feet of grass needed foe the total area = Area of rectangular fence = L * w

    i. e C = 12 feet * 15 feet

    Or, C = 180 feet²

    So, The square feet of grass needed foe the total area = C = 180 square feet

    D) Let The total cost of grass = $D

    ∵ The cost of grass per square foot = $0.5

    So, Total cost of grass = $0.5 * Area of fence

    i. e D = $0.5 * 180 feet²

    Or, D = $90

    So, The Total cost of grass = D = $90

    E) Let the total cost of the project = $E

    ∵Mr. Jones spend additional $50 for tools

    So, The total cost of the project = money spent on tools + total cost of fence + Total cost of grass

    i. e E = $50 + B + D

    Or, E = $50 + $432 + $90

    ∴ E = $572

    So, The total cost of the project = E = $572

    Hence,

    A) The total feet needed for the fence total perimeter is 54 feet

    B) The total cost of fence is $432

    C) The square feet of grass needed foe the total area is 180 square feet

    D) The total cost of the project is $572 Answer
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