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Zaid and Matias, two farmers, constructed a 792-foot fence around their very large garden. If Zaid constructed 20% more of the fence than Matias did, how many feet of the fence did Zaid construct?

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Zaid and Matias, two farmers, constructed a 792792-foot fence around their very large garden. If Zaid constructed 20%20\% more of the fence than Matias did, how many feet of the fence did Zaid construct?\newline\square

Full solution

Q. Zaid and Matias, two farmers, constructed a 792792-foot fence around their very large garden. If Zaid constructed 20%20\% more of the fence than Matias did, how many feet of the fence did Zaid construct?\newline\square
  1. Define Fence Lengths: Let's call the length of the fence Matias constructed MM feet. Since Zaid constructed 20%20\% more than Matias, Zaid constructed M+0.20MM + 0.20M feet.
  2. Calculate Zaid's Contribution: So Zaid constructed 1.20M1.20\,\text{M} feet of the fence.
  3. Write Equation for Total Length: Together, they constructed a total of 792792 feet, so we can write the equation: M+1.20M=792M + 1.20M = 792.
  4. Combine Like Terms: Combining like terms, we get 2.20M=7922.20M = 792.
  5. Solve for M: Now, divide both sides by 2.202.20 to find MM: M = rac{792}{2.20}.
  6. Calculate Final Length: Calculating MM gives us M=360M = 360 feet.