Question

A rhombus shaped field has green grass for 5 cows to graze each side of rhombus is 13 m and the longer diagonal is 24 m find the area of grass for each cow if 20 sq.m .area is not to be grazed

Answer 1

first we have to find the area of the rhombus which is product of diagonal/2
we only have one diagonal so we find second diagonal
we also know that diagonals of rhombus are perpendicular bisector of each other so we now have a right angle triangle with two sides equal to half of two diagonals and one side with length same as side of rhombus.
so the half length of shorter diagonal will be
√{(13^2)-(12^2)} =5m
so the length of smaller diagonal is 5×2 =10m
so the area of rhombus field is (24×10)/2 = 120sq. m
out of which 20 sq. m is not to be grazed so we are left with 100sq. m area for grazing of 5 cows
so each cow will get 100/5 = 20sq. m of area.
hope it HELPS