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A field is 105 yards long from end to end and 108 feet wide. If a person runs diagonally across the field from one end to the other, how far does he run?

Question

A field is 105 yards long from end to end and 108 feet wide. If a person runs diagonally across the field from one end to the other, how far does he run?

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Step 1

Given:

The length of the field is 105 yards and width is 108 feet.

It is known that,

1yard = 3 feet.

Therefore,

105 yards 105(3)
= 315 feet
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105 yards 105(3) = 315 feet

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Step 2

Assume that a person runs diagonally across the field from one end to the other.

Let x feet be the distance covered by him.

The following diagram shows the dimensions of the field.

A
r ft
108 ft
D
C
315 ft
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A r ft 108 ft D C 315 ft

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Step 3

By Pythagorean ...

AD VAC2CD
108 +(315)
/11664+99225
= v110889
= 333 ft.
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AD VAC2CD 108 +(315) /11664+99225 = v110889 = 333 ft.

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