Question

The length of a rectangle is 27 m longer than its breadth.If the perimeter of a rectangle is 110 m,find its area.​

Answer 1

Answer:

574 m²

Step-by-step explanation:

Let 'b' be the breadth.  

And let 'b+27' be the length.

Perimeter of a rectangle = 2 (l+b)

                                   110 = 2 [(b+27)+b]      

                                110/2 = (b+27)+b

                                     55 = (b+27)+b

                              55-27 = 2b

                                    28 = 2b

                                28/2 = b  

                                14 m = b        

Hence, the breadth is 14 m.  

Length of the rectangle = breadth+27

                                         = 14+27

                                         = 41 m

Thus, the length is 41 m.

Area of a rectangle = l x b

                                = 41 x 14 m²

                                = 574 m²

HOPE IT IS HELPFUL !!!