Question

the perimeter of a rhombus is 100cm and one of the diagonals is 40cm. then, the area of the rhombus in square centimeters is

Answer 1

Perimeter = 100 cm

In Rhombus all sides are equal so for getting lenght of one side we need to divide perimeter by 4 sides.

= 100 / 4

= 25 cm is lenght of each side.

Area of Rhombus = lenght of each diagonal / 2.

Inside the rhombus there forms a triangle with hypotenuse 25cm.

And one of side as 20cm. Which is half lenght of one diagonal.

So by Pythagoras method half lenght of other diagonal is

15cm.

So other diagonal would be 2 × 15 = 30cm.

Area = 30 × 40 / 2 = 600 sq. cm.

Hope it helps!