Question

the area of a rectangle gets reduced by 8 m2,when its length is reduced by 5 and its breadth is increased by 3m. if we increased the length by 3m and breadth by 2m the area is increased by 74m2 . find the length and breadth ​

Answer 1

Answer:

l= 19 b= 10

Step-by-step explanation:

given: (l-5)(b+3)=lb-8

(l+3)(b+2)=lb+74

on solving both we get

3l-5b=7 ---1

2l+3b=68 ---2

now, Eq 1 x2 and Eq 2 x3

6l-10b=14 ---3

6l+9b=204 ---4

now, eq4 - eq3

we get b= 10 and l= 19