Question

The length of a rectangular field is 11 m more than its breadth if the length is decreased by 12 metre and and width is increased by 10. the area decreases by 24 metre square find the length and the breadth of the rectangular field​

Answer 1

Answer:

let b be x

l=11+x

(11+x)-12

x+10

a=(x×(11+x))+24

=11x+x×x+24

=x^2+11x+24

=x^2+(8+3)x+24

=x^2+8x+3x+24

=x(x+8)+3(x+8)

=(x+3)(x+8)

x=3or8=b

l=3+11

=14

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Answer 2

Answer:

The length is $14m$ and breadth is $3m$

Step-by-step explanation:

Let breadth be $x$

hence length $11+x$

Area$=A=x^{2} +11x$

According to question,

length $=(11+x)-12$

breadth $=x+10$

Area $=A-24=x^{2}+9x-34$

Equating both areas, we get

$x=3$

Hence, length is $3m$ and breadth is $11m$

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