Question

The sides of a triangle are $5$, $12$ and$13$ 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
• B. 26 units
• C. 13 units
• D. 15 units

Answer 1

The correct option is B 26 units

By Pythagoras theorem, we find that the given triangle is a right angled triangle with $12$ as height and $5$ as base.
$\therefore$ Area of the triangle $=\frac{1}{2}\times 12\times 5sq.units$
$=30$ sq. units
$\therefore$ Area of the rectangle $=length\times breadth=30$
$\Rightarrow Length=\frac{30}{breadth}=\frac{30}{10}=3units$
$\therefore$ Perimeter of the rectangle $=2\times (10+3)$Units
$=26$ units.