Posted by **leo** on Thursday, May 12, 2011 at 8:44am.

The base of a right prism is a rhombus whose sides are 20cm and the shorter diagonal is 24in..find the area pls.

- solid mensuration -
**Reiny**, Thursday, May 12, 2011 at 8:52am
The diagonals of a rhombus bisect each other at right angles.

You should see 4 identical right-angled triangles

let the missing side in each of those triangles be x

x^2 + 12^2 = 20^2

x = 16

So the longer diagonal is 32

Area of rhomus = (1/2)(product of diagonals)

= ...

- solid mensuration -
**leo**, Thursday, May 12, 2011 at 9:02am
where did u get the 12?because the sides are centimeter and the other diagonal is inches?

- solid mensuration -
**Reiny**, Thursday, May 12, 2011 at 9:29am
Didn't notice that.

Weird that they would mix units like that.

Anyway,

1 inch = 2.54 cm

As I said, the diameters right-bisect each other, so what is 1/2 of 24 ?

So change the 12 inches to cm

= 12(2.54) cm

= 30.48 cm

Now everything is in the same units.

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