Question

bhutt free mein points de diya ab que solve kro q.if ina rectangle remains the same if the length is increased by 7 metres and the breadth is decreased by 3 metres . the area remains unffected if the length is decreased by 7 metres and breadth is increased by 5 metres. find the dimensions of the rectangle. bna bhut free points De diya..

Answer 1

Answer:

Length = 28 m

Breadth = 15 m

Step-by-step explanation:

Let the length be l and breath be b.

Hence, area = l × b

As given,

( l + 7 ) ( b - 3 ) = l b

l b + 7 b - 3 l - 21 = l b

7 b - 3 l = 21 ------ ( 1 )

Also,

( l - 7 ) ( b + 5 ) = l b

l b - 7 b + 5 l - 35 = l b

-7 b + 5 l = 35 ---- ( 2 )

By ( 1 ) + ( 2 ),

( 7 b - 3 l ) + ( -7 b + 5 l ) = 21 + 35

2 l = 56

l = 28 m

Thus, in ( 1 ),

7 b - 3 ( 28 ) = 21

7 b - 84 = 21

7 b = 105

b = 15 m

ANS :

Length of rectangle = 28 m

Breadth of rectangle = 15 m