If a square and a rhombus stand on the same base, then what would be the ratio of the area of square and rhombus?

457 views
If a square and a rhombus stand on the same base, then what would be the ratio of the area of square and rhombus?
posted Sep 29, 2015

Let the base of square and rhombus be a units . Square all sides equal ;;; Area of square=a^2;;

let the height of rhombus , i.e perpendicular distance from the top edge to the base be h units and included angle be x

then area of rhombus =a*h=a^2sinx

ratio = (a^2)/(a^2*sinx) === 1/sinx and since 0<x<90 ;; 0<sinx<1;;; the ratio will always be greater than 1 ,,,,

answer Sep 29, 2015

Similar Puzzles