Question

The length of a rectangle is greater by 5 cm than its breadth. If area of the rectangle
300 sq. cm then what is its length ?
1) 15 cm
2) 25 cm
3) 30 cm
4) 20 cm​

Answer 1

Answer:

4.) 20 cm

Step-by-step explanation:

Let the breadth be=Y

So,

(Y+5)*Y=300

Y^2+5*Y-300=0

By middle term factorisation,

Y^2-15*Y+20*Y-300=0

Y(Y-15)+20(Y-15)=0

(Y-15)(Y+20)=0

That means either Y-15 or Y+20 has to be zero

But Y cannot be negative so,

Y-15=0

Y=15

Therefore, Length=15+5=20 cm