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
