Answer:
c) 676 sq. ft.
Step-by-step explanation:
With the 24 ft barn, the total perimeter can be 24+80 = 104 feet. This allows the farmer to make a square pen 104/4 = 26 feet on a side, for an area of ...
(26 ft)² = 676 ft²
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<em>Comment on "fence" problems</em>
These fence problems have different solutions for different ratios of "barn" length to "fence" length. When the barn length is more than 1/2 the length of the fence, the optimum shape is a rectangle in which half the fence is used parallel to the barn. (The full length of the barn is not used.)
When the barn length is between 1/2 and 1/3 the fence length, the optimum shape is a rectangle with one side equal to the barn length.
When the barn length is less than 1/3 the fence length, as here, the optimum shape is a square, with the barn side being augmented by fence as required. Here, 2 ft of fence is added to the 24 ft barn to make a square 26 ft on each side.
(2x-4) / 5 = x + 4. Mult. both sides by 5 to eliminate the fraction on the left side:
2x-4=5x + 20
Combining like terms, 3x = -24, and so x = -8
In a rectangular prism, surface area is calculated by multiply all the faces of the prism that you can touch
Becuase there's four faces that have the measurement of 5*3, you do 4(5*3) and because there's only two faces that have the measurement of 3*3, you do 2(3*3)
Which becomes 4(5*3)+2(3*3) which is 78
Answer: Sample space for:
Coin (S) ={H, T}
Spinner (S) = {Green, Red, Orange, Purple, Yellow}
All the Possible outcome for:
Coin =1
Spinner = 1
The total outcome there = 7
Probability of flipping tails and not spinning purple or green
=11/10
Step-by-step explanation:
All the Possible outcome for:
Coin =1/2+1/2=1
Spinner = 1/5+1/5+1/5+1/5+1/5=1
The probability of flipping tails. = 1/2
The probability of not spinning purple or green = 3/5
Therefore, the probability of flipping tails and not spinning purple or green
= 1/2+3/5
=11/10
