Question

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

Answer 1

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."`