Question

The area of a rhombus is 540 cm² and one of the diagonals is 18 cm. Find the other diagonal.​

Answer 1

Given :-

Area of Rhombus = 540 cm²

One of Diagonals = 18 cm

To Find :-

We have to find Other Diagonal :-

Formula Used Here :-

$Area \: of \: Rhombus \: = > \frac{1}{2} \times {D}^{1} \times {D}^{2}$

Solution Start :-

$Area \: of \: Rhombus \: = > \frac{1}{2} \times {D}^{1} \times {D}^{2} \\ \\ 540 \: {cm}^{2} = > \frac{1}{2} \times 18 \: cm \: \times {D}^{2} \\ \\ 540 \: {cm}^{2} = > \frac{1}{\cancel {2}} \times \cancel {18 \: }cm \times {D}^{2} \\ \\540 \: {cm}^{2} = > 9 \: cm \: \times {D}^{2} \\ \\ \frac{540 \: {cm}^{2} }{9 \: cm} = > {D}^{2} \\ \\ \frac{\cancel {540 { \: cm}^{2} }}{\cancel {9 \: cm}} = > {D}^{2} \\ \\ 60 \: cm \: = > {D}^{2}$

Hence, The Other Diagonal is 60 cm.

Hope it's helpful for you !

Answer 2

Answer:

60cm

Step-by-step explanation:

Given,
Area= 540cm^2
D1= 18cm
To find:
Other diagonal D2
Solution:
Area of rhombus= (D1xD2)/2
(D1xD2)/2= 540
(18xD2)/2 = 540
18xD2= 1080
D2= 1080/18=60cm

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