Question

The perimeter of a rhombus is 100 cm and one diagonal is 40 cm a)find the length of the Other diagonal b)the area of the Rhombus​

Answer 1

Answer:

a-30cm b-600cm²

Step-by-step explanation:

Given:

perimeter of rhombus- 100cm

each side will be 100/4-= 25cm=AB

diagonal 1/2 - 40 cm /2=20cm =OB

In triangle AOB right angle at O so

AB²=OB²+OA² (Pythagoras theorm)

now

625= 400+OA²

=>OA=15CM = OC

AB = 15×2=30cm=other diagonal

now,

area of rhombus = 1/2×d1×d2

=1/2×30×40

=600cm²