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 A wood frame for pouring concrete has an interior perimeter of 14 metres. Its length is one metre greater than its width. The frame is to be braced with twelve-gauge steel cross-wires. Assuming an extra half-metre of wire is used at either end of a cross-wire for anchoring, what length of wire should be cut for each brace?​
  • a)
    14 m
  • b)
    4 m
  • c)
    6 m
  • d)
    60 m
Correct answer is option 'C'. Can you explain this answer?
Verified Answer
A wood frame for pouring concrete has an interior perimeter of 14 metr...
Let width is x
Then length is x+1
Perimeter =x +x + x + 1 + x + 1 = 14
4 x= 12
x = 3
length = 4
Using Pythagoras theorem,
H2 = P+ B2
=9 + 16 = 25
H = 5cm
An extra half meter on either side will give the length of the wire as 5 + 1 = 6cm
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Most Upvoted Answer
A wood frame for pouring concrete has an interior perimeter of 14 metr...
Area of cross-section is inversely proportional to length / Area or wire to be used. 14m = 1/2 ..multiple x.(x + 1 )
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Community Answer
A wood frame for pouring concrete has an interior perimeter of 14 metr...
Given information:
- The wood frame has an interior perimeter of 14 meters.
- The length of the frame is one meter greater than its width.
- The frame is to be braced with twelve-gauge steel cross-wires.
- An extra half-meter of wire is used at either end of a cross-wire for anchoring.

Let's solve the problem step by step:

Step 1: Define the variables
Let's assume the width of the wood frame is 'x' meters.
Therefore, the length of the wood frame will be 'x + 1' meters.

Step 2: Calculate the perimeter of the wood frame
The perimeter of a rectangle can be calculated as follows:
Perimeter = 2 * (Length + Width)

Given that the interior perimeter of the wood frame is 14 meters, we can write the equation as:
14 = 2 * (x + x + 1)
14 = 4x + 2
12 = 4x
x = 3

Step 3: Calculate the length of the wood frame
Using the value of 'x' from the previous step, we can calculate the length:
Length = x + 1 = 3 + 1 = 4 meters

Step 4: Calculate the length of the cross-wire
The length of the cross-wire will be equal to the interior perimeter of the wood frame plus the extra half-meter at each end:
Length of cross-wire = Perimeter + 2 * (Extra length at each end)

Given that the extra length at each end is 0.5 meters, we can calculate the length of the cross-wire as:
Length of cross-wire = 14 + 2 * (0.5)
Length of cross-wire = 14 + 1
Length of cross-wire = 15 meters

Step 5: Calculate the length of wire needed for each brace
Since each brace requires two cross-wires, we need to calculate the total length of wire needed for each brace:
Length of wire for each brace = 2 * Length of cross-wire
Length of wire for each brace = 2 * 15
Length of wire for each brace = 30 meters

Therefore, the correct answer is option C) 6 meters, as each brace requires a length of 6 meters of wire.
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A wood frame for pouring concrete has an interior perimeter of 14 metres. Its length is one metre greater than its width. The frame is to be braced with twelve-gauge steel cross-wires. Assuming an extra half-metre of wire is used at either end of a cross-wire for anchoring, what length of wire should be cut for each brace?​a)14 mb)4 mc)6 md)60 mCorrect answer is option 'C'. Can you explain this answer?
Question Description
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