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Brilliant_brown [7]
2 years ago
5

Mason has 108 feet of material to build a fence around a rectangular pool on his property. If the width of the fence must be 6 f

eet, what is the length of the fence in yards if he uses all 108 feet of material?
Mathematics
2 answers:
torisob [31]2 years ago
7 0

Answer:

48 feet

Step-by-step explanation:

The area around something is the perimeter and the formula for perimeter of a rectangle is:

P = 2( l + w )

You are given the perimeter and width in this problem, so you would do the inverse of everything in this problem.

108 = 2( l +6 )

108/2 = 54

54 - 6 = 48

l = 48

The length is 48 feet

igor_vitrenko [27]2 years ago
3 0

Answer:

16 yards

Step-by-step explanation:

Perimeter of a rectangle is 108 ft

Breadth = 6 ft = b

Length = l

A rectangle consists of four right angles with opposite sides of equal length.

For a rectangle the perimeter is the sum of all the sides. This means as there are two lengths and breadths the,

Perimeter = 2(l +b)

⇒108 = 2(l+6)

⇒54 = (l+6)

⇒l = 54-6

⇒l = 48 ft

1 yard = 3 ft

⇒1 ft = 1/3 yards

⇒48 ft = 48×1/3

⇒48 ft = 16 yards

∴ Length of fence is 16 yards

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Answer:

∠A = ∠D  (**but very important Δ ABC has to be congruent to Δ DEF)

Step-by-step explanation:

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In how many years will the interest on £100 at 6% amount to £12?
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3 0
3 years ago
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A ride at a carnival has two types of cars for children to ride one type has two seats and one has four seats there are 25 cars
Darya [45]

Answer:

10

Step-by-step explanation:

To solve this problem you need to create a system of equations. In these equations, use a = 2-seated car and b = 4- seated car

The first equation that you can make can be a + b = 25 because the number of 2-seated cars plus the number of 4-seated cars is going to equal a total of 25 cars.

The next equation you can make is 2a + 4b = 70 because the number of seats provided by the 2-seated cars plus the number of seats provided by the 4-seated cars will equal 70 total seats.

Next, line up the equations and solve:

Step one: Line up the equations

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Step two: Multiply the top equation by -2 so that you can add both of                                        the equations together

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Step three: Add the equations

               -2a - 2b = -50

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            ______________

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Step four: Divide both sides by 2 in order to solve for b

                2b = 20 ⇒ b = 10  

Because b represents the number of 4-seated cars, you now know that there are 10 4-seated cars on the ride.          

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