Find the missing diagonal of a kite with an area of 140 square meters if the other diagonal is 20 meters?

1 Answer
Jan 14, 2016

The second diagonal has a length of #14# meters

Explanation:

The Area of a kite with diagonals #d_1# and #d_2# is given by the formula:
#color(white)("XXX")"Area"_diamond = (d_1 xx d_2)/2#
(Search elsewhere in socratic.org if you need a proof of this formula; it comes up often enough recently).

If #"Area"_diamond = 140 " sq.m."#
and #d_1=20 " m."#

Then
#color(white)("XXX")140 "sq.m." = (20 " m." xx d_2)/2#

#rArrcolor(white)("XXX")d_2 = 14 " m."#