Question

find the lenght breadth of rectangle if its lenghr is 5 mote than its breadth and area is 36m^

Answer 1

Let the breadth be x
So, the length will be x+5

According to the question,
Area of rectangle = 36m²

x(x+5) = 36

x²+5x = 36

x²+5x-36=0

x²+5x-36=0

x²-4x+9x-36=0

x(x-4)+9(x-4)=0

(x+9)(x-4)=0

So, x= -9 OR 4

The breadth cannot be negative so x=4
Then length = x+5=4+5=9

Therefore the length is 9m and breadth is 4m.


Hope it helps you.