Question

if the length of a rhombus is 30 cm and its area 240 sq cm find its perimeter​

Answer 1

Answer:

Here is given,height of one diagonal is 30cm.

And area is 240cm^2.

Step-by-step explanation:

Now,

area of rhombus is-

product of diagonal/2.

Suppose other diagonal is X cm.

Then, (30×X)/2=240

So, X=16cm.

Now, diagonals of rhombus intersect each other at right angle.

So, halfs of the both diagonals are 8cm and 15cm respectively.

Then, 8^2+15^2=(side of rhombus)^2.

8^2+15^2=(side of rhombus)^2.So, side of rhombus is 17cm.

8^2+15^2=(side of rhombus)^2.So, side of rhombus is 17cm.Now, perimeter of rhombus is 4×side.

So, it is equal to 68cm. Ans