The perimeter of a rectangular field is 324 yards. If the width of the field is 76 yards, what is its length?

1 answer:

Ugo [173]2 years ago

8 0

The length would be 86 yards.

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We know that the sum of the the interior angles of a quadrilateral is 360°.

In the figure, angle H = angle F

angle H+ angle F+ angle E+ angle G =360°

$x + x + 87 + 31 = 360 \\ 2x + 118 = 360 \\ 2x = 242 \\ x = \frac{242}{2} \\ \boxed{x = 121}$

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