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?
Denote Fence Length: Let's denote the length of the fence Matias constructed as M feet. Since Zaid constructed 20% more of the fence than Matias, Zaid constructed M+0.20M feet of the fence.
Combine Matias and Zaid: Combining Matias's and Zaid's portions, we get the total length of the fence: M+(M+0.20M)=792 feet.
Simplify Equation: Combine like terms.M+M+0.20M=7922.20M=792 feet.
Solve for M: To find the value of M, we need to divide 2.20 on both sides of the equation.M=2.20792 feetM=360 feet
Calculate Zaid's Portion: Now that we have Matias's portion, we can calculate Zaid's portion, which is 20% more than Matias's.So, Zaid's portion is M+0.20M=360 feet +0.20×360 feet.Calculation: Zaid's portion = 360 feet +72 feet = 432 feet
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