The perimeter of a rectangle is 86 cm. The numbers representing its area and breadth are in the ratio of 9: 1, respectively. The breadth of the rectangle is:
Answer & explanation
Correct answer: option 2
We know that,
Area of rectangle = Length × Breadth
Perimeter of rectangle = 2 (Length + Breadth)
Given that,
Perimeter = 86 cm
Ratio of Area and its breadth = 9 : 1
According to the question,
Area : Breadth = 9 : 1
= \(\frac{(L × B) }{B}\) = \(\frac{9}{1}\)
= L = 9 cm
Now, Perimeter of rectangle = 86 = 2(9 + Breadth)
= 9 + Breadth = 43
= Breadth = 34 cm