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What is the perimeter of this isosceles trapezoid?

64
58
48
56

1 Answer

1 vote

Final answer:

The perimeter of an isosceles trapezoid is calculated by adding the lengths of all its sides. However, without sufficient information to distinguish which sides the provided measurements correspond to, we cannot determine the perimeter for the given numbers.

Step-by-step explanation:

The perimeter of an isosceles trapezoid is the sum of the lengths of all its sides. Since the question does not specify which numbers correspond to which sides, and typically, the lengths of the parallel sides would be different while the lengths of the non-parallel sides (the legs) would be equal in an isosceles trapezoid, there seems to be a lack of sufficient information to determine the perimeter. Usually, in an isosceles trapezoid, if we denote the lengths of the parallel sides as a and b, and the lengths of the non-parallel sides (the legs) as c, the perimeter P can be calculated as P = a + b + 2c.

Applying this to a scenario where we have the correct measurements, if an isosceles trapezoid has bases (parallel sides) of lengths 64m and 56m, and legs (non-parallel sides) both measuring 58m, the perimeter would be calculated as follows:

P = 64m + 56m + 2(58m)

P = 120m + 116m

P = 236m

However, without the clear identification of which sides are which, or confirmation that the provided numbers correctly pertain to an isosceles trapezoid, we cannot give a definitive answer to the original question.

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