The area of a right-angled triangle is two-thirds of the area of a rectangle. The base of the triangle is 80 percent of the breadth of the rectangle. If the perimeter of the rectangle is 200 cm, what is the height of the triangle?
Choose the most appropriate option.
A) 20 cm B) 30 cm C) 15 cm D) Data inadequate E) None of these
Let the base and height of triangle, and length and breadth of rectangle be L and h, and L1 and b1 respectively.   Then 1⁄2 × L × h = 2⁄3 × L1 × b1 .....(i)   L = 4⁄5b1 .....(ii)   and L1 + b1 = 100 .....(iii)   In the above we have three equations and four unknowns. Hence the value of ‘h’ can’t be determined.   Answer Data inadequate
<result>D</result>
The area of a right-angled triangle is two-thirds of the area of a rectangle. The base of the triangle is 80 percent of the breadth of the rectangle. If the perimeter of the rectangle is 200 cm, what is the height of the triangle?