Question

A rectangle and a triangle have equal areas. The length and width of the rectangle are 24 cm and 8 cm respectively. If the base of the triangle is 16 cm, what is the height of the triangle?

Answer 1

The area of rectangle = 24 × 8 = 192 cm^2 ;
The area of triangle = ( 16 × h ) / 2 = 8 × h ; where h = the height of the triangle ;
the rectangle and the triangle have equal areas;192 = 8 × h ;
h = 192 ÷ 8 ;
h = 24 cm ;