Question

find the area of rhombus if it's one diagonal is 24cm and perimeter is 60cm

Answer 1

Heya mate,

Here is your answer,. ⬇️⬇️

${ANSWER :-}$

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$<i>$ We have, perimeter of the rhombus is = 60 cm.

Now, its one side = 60/4 = 15 cm.

Now, we get that the two diagonals divide the rhombus into 4 right triangles.

Now, we have, 24/2 = 12 cm.

Now, let the other diagonal be x.

Considering one of the 4 triangles and putting in the pythagoreas theorem,

(x/2)^2 + (12)^2 = (15)^2

=> (x/2)^2 = 81

=> x/2 = 9

=> x = 18.

Thus, other diagonal = 18 cm.

Therefore, area will be
= 1/2 * 18 * 24 cm^2
= 216 cm^2

➡️ Hence, the area of the rhombus is 216 cm^2.

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$<b>$ Hope this helps,.

If helps, please mark 'thanks'

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REGARDS, ARNAB ✌️

THANK YOU