Aight objective type questions :The perimeter of a rhombus is 100 cm a

1.	Aight objective type questions :The perimeter of a rhombus is 100 cm and one of the diagonals is 40 cm. Then, the area of therhombus in square centimeters is
Answer» Answer : 600 cm² Explanation : perimeter of a rhombus is 100 cm (given) one of the diagonals is 40 cm (given) We NEED to find the area of rhombus. all sides of a rhombus are equal. SIDE of rhombus = 100/4 =25cm the diagonal of rhombus BISECT each other. Let the other diagonal be 2X (x)²+ (20)² = 25²⇒x² = 625−400 x² = 225² x = 15cm Other diagonal = 2x = 2×15 = 30cm Then, area of rhombus = Diagonal × Diagonal = 15×30 = 600cm²

Aight objective type questions :The perimeter of a rhombus is 100 cm and one of the diagonals is 40 cm. Then, the area of therhombus in square centimeters is

Answer»

Answer : 600 cm²

Explanation :

perimeter of a rhombus is 100 cm (given)

one of the diagonals is 40 cm (given)

We NEED to find the area of rhombus.

all sides of a rhombus are equal.

SIDE of rhombus = 100/4 =25cm

the diagonal of rhombus BISECT each other.

Let the other diagonal be 2X

(x)²+ (20)² = 25²⇒x² = 625−400

x² = 225²

x = 15cm

Other diagonal = 2x

= 2×15

= 30cm

Then, area of rhombus = Diagonal × Diagonal

= 15×30

= 600cm²