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Question

The sides of a triangle are 5, 12 and13 units. A rectangle of width 10 units is constructed equal in area to the area of the triangle. Then the perimeter of the rectangle is

A
30 units
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B
26 units
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C
13 units
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D
15 units
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Solution

The correct option is B 26 unitsBy Pythagoras theorem, we find that the given triangle is a right angled triangle with 12 as height and 5 as base. ∴ Area of the triangle =12×12×5sq.units=30 sq. units∴ Area of the rectangle =length×breadth=30⇒Length=30breadth=3010=3units∴ Perimeter of the rectangle =2×(10+3)Units =26 units.

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