Question

the vimons live on a corner lot. often, children cut across their lot to save walking distance. the diagram to the right represents the corner lot. the childrens path is represented by a dashed line. approximate the walking distance that is saved by cutting across their property instead of walking around the lot. the walking distance that is saved by cutting across the lot is (round the final answer to the nearest integer as needed. round the nearest thousandth as needed.) cubic feet square feet feet

Explanation:

Step1: Find the length of the path across the lot (hypotenuse)

Use the Pythagorean theorem \(a^{2}+b^{2}=c^{2}\), where \(a = 44\) and \(b=33\).

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Step2: Find the distance around the lot

The distance around the lot is \(44 + 33=77\)

Step3: Calculate the saved distance

Subtract the distance across the lot from the distance around the lot. \(77-55 = 22\)

Answer:

22 feet