Question

The length of a rectangle is 5 cm more than its breadth. Its area is 300 sq.cmFind the length and breadth​

Answer 1

Answer:

Length=20cm

Breadth=15cm

Step-by-step explanation:

Let the breadth of rectangle be x cm

Then, length of rectangle = (5+x) cm

Area= length × breadth

=> 300 = x(5+x)

=>300 = 5x+x²

=> x²+5x-300=0

=> x²+20x-15x-300=0

=>x(x+20)-15(x+20)=0

=>(x+20)(x-15)=0

=>(x+20)=0 & (x-15)=0

=>x=-20 & x=15

Eliminating x=-20 as length can't be negative

.: x=15

Breadth=15cm

Lenght= x+5 = 15+5 = 20cm