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Perimeter of a Trapezium

ABCD is an is...

Question

ABCD is an isosceles trapezium where AC = (4x + 7) units and BD = (2x + 9) units. Find the value of x.

A

1

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B

2

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C

3

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D

4

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Solution

The correct option is A 1
We know that in an isosceles trapezium, the length of the diagonals are equal. Hence,
AC = BD
2x + 9 = 4x + 7
9 - 7 = 4x - 2x
2x = 2
x = 1.

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