Question

perimeter of the rombus is 100m and its diagonal is 40m Find the area of rombus​

Answer 1

Answer:

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Step-by-step explanation:

Perimeter of rhombus =4×side

⇒ 100=4×side

⇒ side= 4 x 100

⇒ side=25

We know diagonals of a rhombus divides the rhombus in two equilateral triangle.

Now, we are going to find area of 1 equilateral triangle.

Semi perimeter = (25+25+40)/2

=45

We will use Heron's formula to find are of equilateral triangle.

⇒ Area of triangle = s(s−a)(s−b)(s−c)

= 45(45−40)(45−25)(45−25)

=45×5×20×20

=90000

=300m2

⇒ Area of rhombus =2×300m2

=600m2