Question

The perimeter of a triangle is equal to the perimeter of a rectangle. The length of the rectangle is 75% of the

side of a square and the ratio of length to breadth of rectangle is 3 : 2. If the difference between the perimeter of a

square and that of the rectangle is 36 cm, then find the perimeter of the triangle?​

Answer 1

Solution:

•

o …(i)

• Let a be the side of square

o Perimeter of Square = …(ii)

• Length of the Rectangle =

o Breadth of rectangle =

o Perimeter of rectangle=…(iii)

• Difference between the perimeter of square and rectangle = CM

o From equation (ii) and (iii)

o

o

o

• On substituting in equation (iii), we get

o Perimeter of rectangle = cm…(iv)

• By equation (i), and (iv), we get

o Perimeter of triangle = cm

Hence, the correct answer is Option B.