Question

Thearea of rectanglur room is 165 sq.M. If its length is 4 m more than its breath and perimeter is 52m.What is the length and breath of the room solve this ques

Answer 1

Answer:

Step-by-step explanation:

Let breadth be x

Length will be x+ 4

Area = lb

165 = x (x+4)

165= x2 + 4x ( x square plus 4x)

x2 + 4x - 165 = 0

Now factorise this equation

x2 + 15x - 11x -165 = 0

x (x+15) -11 (x+15)=0

(x-11) (x+15)=0

Now ;

We have two values of x

x= 11 and x= -15

We must consider the positive value

Therefore x= 11

Now breadth= x= 11m

Length= x+4=11+4=15 m

Finally

The dimensions of the room are

Length 15 m

Breadth 11m

Also checking the given perimeter

Perimeter= 2(l+b)

52 = 2(11+15)

52=2(26)

52=52

Hence proved