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?□
Q. 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?□
Define Fence Lengths: Let's call the length of the fence Matias constructed M feet. Since Zaid constructed 20% more than Matias, Zaid constructed M+0.20M feet.
Calculate Zaid's Contribution: So Zaid constructed 1.20M feet of the fence.
Write Equation for Total Length: Together, they constructed a total of 792 feet, so we can write the equation: M+1.20M=792.
Combine Like Terms: Combining like terms, we get 2.20M=792.
Solve for M: Now, divide both sides by 2.20 to find M: M = rac{792}{2.20}.
Calculate Final Length: Calculating M gives us M=360 feet.
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