Question

The length of a rectangular room exceeds its breadth by 4m. If the length is increased by 6 m and breadth is diminished by 4 m, there would be no change in the area. Find the length and breadth of the room.​

Answer 1

let breadth be x

then the length will be (x+4)

area of rectange=l×b

l=(x+4)=x² +4x

b=(x−4)

(x−4)(x+10)

x(x+10)−4(x+40)

(x ² +10x)(−4x−40)x²

+(10x−4x)−40x ² +6x−40

therefore, x² +4x=x² +6x−40

4x=6x−40

6x−4x=40−2x=40

x= $\frac{40}{2}$

breadth=20m

length=24m

area=l×b

=(20×24)m ²

=480m²

Answer 2

Answer:

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