An isosceles trapezoid has a perimeter of 108 metres. Its shorter base measures 11.5 metres and its longer base measures 28.1 metres. The two remaining sides have the same length; what is that length?

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04-08-2022
Mathematics

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An isosceles trapezoid has a perimeter of 108 metres. Its shorter base measures 11.5 metres and its longer base measures 28.1 metres. The two remaining sides have the same length; what is that length?

Sagot :

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Ewomazinoadeidn Ewomazinoadeidn · Answer 1 · 2022-08-05T14:14:05-04:00

The length of one of the remaining sides is 34.20 meters.

What is the length?

A trapezoid is a convex quadrilateral. A trapezoid has at least on pair of parallel sides. the parallel sides are called bases while the non parallel sides are called legs

Perimeter of an isosceles trapezoid = sum of lengths of sides of a trapezoid

length of shorter base + length of longer base + (2 x legs)

108 = 11.5 + 28.1 + (2 x legs)

108 = 39.60 + (2 x legs)

108 - 39.60 = (2 x legs)

68.40 = (2 x legs)

leg = 68.40 / 2

= 34.20 meters

To learn more about trapezoids, please check: https://brainly.com/question/25748893

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Sagot :

What is the length?

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