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.

Question

Mathematics

Mullen

10 May, 05:53

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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Answers (1)

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Rachael Benjamin · Answer 1

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