Question

If length of a rectangle is 2 cm more than thrice its breadth and the area of the rectangle is 85 cm². If breadth = x cm then: (i) Length is​

Answer 1

Answer:

             The length of the rectangle is 47cm.

Step-by-step explanation:

                                           It is given that the Breadth= Xcm

     So, the length will be- (3x+2)cm----According to condition given

      We know, area of a rectangle is- L*B

     Therefore, 85cm2 = X(3X+2)

                                      = 3X2 + 2X

                          So, 85= 3X2 + 2X

                 Therefore, 3X2 + 2X - 85=0

                                    Factors are- +17x and -15x

After solving the quadratic  equation,

                                                      we get x=15

So, the length is- 15cm and the breadth is- 3*15+2= 45cm.

                             Hope it helps.