Mathematics

Question

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.

1 Answer

  • Answer:

    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