Question

3) The area of rhombus is 240cm square and one of the diagonals is 16cm. Find the other diagonal.​

Answer 1

Area of rhombus

= ½ × product of two diagonals

=> ½ × 16 × diagonal = 240

=> 8 × diagonal = 240

=> diagonal = 240/ 8

=> diagonal = 30

Answer 2

$\bigstar\bf\underline{\underline{given:-}}$

$\longmapsto\sf{Area \ of \ rhombus \ is \ 240cm^{2}}$

$\longmapsto\sf{The \ diagonals \ is \ 16cm}$

$\bigstar\bf\underline{\underline{To \ find:-}}$

$\longmapsto\sf{The \ other \ diagonal}$

$\bigstar\bf\underline{\underline{Solution:-}}$

$\sf{Area \ of \ rhombus \ = \ 240cm^{2}}$

$\sf{Length \ of \ one \ diagonal \ = \ d_{1} \ = \ 16cm}$

$\sf{let, length \ of \ other \ diagonal \ = \ d_{2} \ = \ xcm}$

$\sf{Now,}$

$\sf{Area \ of \ rhombus \ = \ \frac{1}{2}\times d_{1}\times d_{2}}$

$\hookrightarrow\sf{240 \ = \ \frac{1}{2}\times 60\times x}$

$\hookrightarrow\sf{\frac{240}{8} \ = \ x}$

$\hookrightarrow\sf{30 \ = \ x}$

$\hookrightarrow\boxed{\boxed{\bf x \ = \ 30cm}}$

$\sf{therefore,}\bf\underline{The \ length \ of \ other \ diagonal \ = \ 30cm}$