Question

the perimeter of a rectangle is 106cm. its length is (2x-1)cm and breadth is (x+9)cm . find its length and breadth.​

Answer 1

Answer:

Length = 29cm , Breadth = 24cm

Step-by-step explanation:

Given: Length, l = (2x-1) & Breadth , b = (x+9)

Perimeter of Rectangle = 2( l + b)

                                          $2( l + b ) = 106cm\\ 2{ 2x - 1 + x + 9 } = 106cm\\ 2( 3x + 8 ) = 106\\ 6x + 16 = 106 \\ 6x = 106 - 16\\ 6x = 90\\ x = 90/6\\x=15cm$

l, length = 2x - 1 = 2(15) - 1 = 30-1 = 29cm

b ,breadth = x + 9 = 15 + 9 = 24cm

Ans.