Madhya Pradesh Police Exam Model Paper 2

Given:
Area of rectangular carpet = 120m2
Perimeter of rectangular carpet = 46 m
Formula used:
Perimeter of the rectangle =2(l+b)
Area of the rectangle = lb
Diagonal of the rectangle =√(l2+b2)
Calculation:
According to the question
2(l + b) = 46
⇒ (l + b) = 23
Also, lb = 120
As we know,
(l+b)2=l2+b2+2lb
⇒232=l2+b2+2×120
⇒l2+b2=529–240
⇒l2+b2=289
∴ Diagonal =√(l2+b2)=√289=17m