Question

a rhombus has perimeter 100m and one of iths diagonal is 40 m area of the rhombus is
pls thank my answer​

Answer 1

Answer:

600m

2

Perimeter of rhombus =4×side

⇒ 100=4×side

⇒ side=

4

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 =

2

25+25+40

=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

=300m

2

⇒ Area of rhombus =2×300m

2

=600m

2