1.

the length of a rectangle exceeds its breadth by 5cm if the Length and breadth are increased by 1cm, the area increases by 34 (cm)square find the length and breadth of the rectangle

Answer»

Heya ✋

Let see your ANSWER !!!!

Let the breadth be (x)cm. Then,

length = (x + 5)cm

Area = x × (x + 5)

= (x^2 + 5x)cm^2

New length = (x + 5 + 1)cm

= (x + 6)cm

New breadth = (x + 1)cm

New area formed = (x^2 + 5x + 34)cm^2

According to question ,

(x + 6) (x + 1) = x^2 + 5x + 34

=> x^2 + x + 6x + 6 = x^2 + 5x + 34

=> x^2 + 7x + 6 = x^2 + 5x + 34

=> x^2 - x^2 + 7x - 5x = 34 - 6

=> 2x = 28

=> x = 28/2

=> x = 14

Hence , breadth = 14cm

and length = (14 + 5)cm

= 19cm






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