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Question

Perimeter of an isosceles trapezoid is 12 units. Dimension of two adjacent sides are 3 units and 4 units. If all the sides have integer dimensions, find the possible dimensions of two parallel side.

A
1 unit
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B
2 units
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C
3 units
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D
4 units
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Solution

The correct option is D 4 units
An isosceles trapezoid is formed by cutting an isosceles triangle along a line parallel to the side of the triangle connecting the equal angles of the triangle.

Here, EDCB is the isoscele trapezoid wtih EB=DC and EDBC

Given: Perimeter =12 units.
Dimension of two adjacent sides are 3 units and 4 units.

Two such combinations are possible.

Hence, the possible dimension of both parallel sides are 1 unit,2 units,3 units and 4 units.

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