Question

The area of rhombus is 198 sq. m. If one of it’s diagonal measures 18
cm, find the measure of other diagonal.

Answer 1

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Answer 2

Answer:  The area of rhombus is 198 sq. m. If one of it’s diagonal measures 18 cm, the measure of other diagonal is 22 cm.

Step-by-step explanation:

Area of a rhombus =  $\frac{1}{2}d_{1} d_{2}$ , where $d_{1}$ and $d_{2}$ are the diagonals of the rhombus.

Here, area of the given rhombus = 198 sq.cm

One of the diagonal ,  $d_{1}$ = 18 cm

∴ Length of the other diagonal can be found out by substituting in the above equation  

 Area of the rhombus , 198 = $\frac{1}{2}$ ( 18× $d_{2}$ )

                                        $d_{2}$ = (198 × 2) ÷ 18 = 22 cm

Hence the  measure of the other diagonal of the rhombus is 22 cm