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.

## Answer This Question

## Related Questions

- solid mensuration - The base of a right prism is a rhombus whose sides are 12 ...
- geometry - The longer diagonal of a rhombus is 2 times as long as the shorter ...
- Solid Mensuration - Find the lengths of the sides of the cylcic quadrilateral if...
- math - the base of a solid right prism is a triangle whose sides are 9 cm,12cm,...
- geometry - the base of a right prism is a rhombus whose diagonals are 6 in and 8...
- maths - the base of a solid right prism is a triangle whose sides are 9cm, 12cm ...
- solid mensuration - A prism measuring 5 ft tall with a triangular base whose ...
- arithmetic - The base of a solid right prism is a triangle whose sides are 9cm,...
- geometry - basis of a right prism is a rhombus with a diagonal 8cm and 6cm.the ...
- Solid mensuration - The bases of a triangular right prism are apart. find the ...

More Related Questions