Hi Red. We can assume that a right triangle is being formed, so you would use the Pythagorean Therorem. ( a squared + b squared = c squared, or the longest side) It becomes 70 squared + 100 squared = Diagonal squared. That gives us 4900 + 10,000 = 14,900. The square root of 14,900 to the nearest thousandth, from your calculator, is your answer.

Red E.

asked • 07/28/20# If a person walks across the field along the diagonal instead of walking the length and width of the field, how much shorter is the distance?

A soccer field is 70 yd wide and 100 yd long. If a person walks across the field along the diagonal instead of walking the length and width of the field, how much shorter is the distance?

The person will walk _______ yards less by taking the path across the diagonal.

(Round to the nearest thousandth.)

## 2 Answers By Expert Tutors

Mark M. answered • 07/28/20

Mathematics Teacher - NCLB Highly Qualified

d^{2} = 100^{2} + 70^{2}

How does that compare to 170?

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