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

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

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Answer 1 · 2016-01-14T13:10:58

The second diagonal has a length of $14$ $14$ meters

Explanation:

The Area of a kite with diagonals $d_{1}$ $d_1$ and $d_{2}$ $d_2$ is given by the formula:
$XXX {Area}_{⋄} = \frac{d_{1} \times d_{2}}{2}$ $color(white)("XXX")"Area"_diamond = (d_1 xx d_2)/2$
(Search elsewhere in socratic.org if you need a proof of this formula; it comes up often enough recently).

If ${Area}_{⋄} = 140 sq.m.$ $"Area"_diamond = 140 " sq.m."$
and $d_{1} = 20 m.$ $d_1=20 " m."$

Then
$XXX 140 sq.m. = \frac{20 m. \times d_{2}}{2}$ $color(white)("XXX")140 "sq.m." = (20 " m." xx d_2)/2$

$\Rightarrow XXX d_{2} = 14 m.$ $rArrcolor(white)("XXX")d_2 = 14 " m."$

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

1 Answer

Explanation:

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