Question

the perimeter of a rectangle is hundred metre if the length is decreased by 2 metre and the breadth is increased by 3 metre area increases by 44 metre square find the length and breadth of the rectangle

Answer 1

Perimeter = 100

=>2 [ length + breadth ]=100

length + breadth = 100 / 2

length + breadth = 50

Let length be x m .

Breadth = ( 50 - x ) m

Area = x ( 50 - x ) m²

Now , new length = ( x - 2 ) m

And new breadth = ( 50 - x ) + 3

=> ( 53 - x ) m

New Area = ( x - 2 ) ( 53 - x ) m²

As per the condition ,

=>( x - 2 ) ( 53 - x ) - x ( 50 - x ) = 44

=>53 x - x² - 106 + 2 x - 50 x² = 44

=>5 x - 106 = 44

=>5 x = 106 + 44 = 150

=>x = 150 / 5

=>x = 30

Hence ,

The required length = 30 m

And breadth = 50 - 30

=> 20 m

HOPE IT HELPS YOU!!!!!

Answer 2

Answer:

x=30 and the ans is 20

Step-by-step explanation: