Question

6. The area of rhombus is 16cm and the length of one of its diagonal is 4cm.Calculate the length of other diagonal.​

Answer 1

Answer:

diagonal 2 = 8 cm

Step-by-step explanation:

Area of rhombus = diagonal 1 * diagonal 2 * 1/2

16 = 4*diagonal 2*1/2

16*2/4 = diagonal 2

8 = diagonal 2

Thanks

Answer 2

Gɪᴠᴇɴ :-

• Area of Rhombus = 16 cm²

• Length of one diagonal = 4 cm

ᴛᴏ ғɪɴᴅ :-

• Length of other diagonal

sᴏʟᴜᴛɪᴏɴ :-

➭ Let the length of other diagonal be 'x'cm

And,

We know that,

$Area \: of \: Rhombus = \frac{1}{2} \times Product \: of \: its \: Diagonals$

So,

➭ By putting above given values in it, we get,

$\implies \: 16 = \frac{1}{2} \times x \times 4 \\ \\ \implies \: 16 = \frac{4x}{2} \\ \\ \implies \: 16 = 2x \\ \\ \implies \: x \: = \frac{16}{2} \\ \\ \implies \: x \: = 8 \: cm$

Hence,

➦ Length of other diagonal = x = 8cm