Question

please solve this question

madhus flower garden is now a square if she is largest it by increasing the with 1 m and the length 3M the area will be 19 square metres more than the present area but if the length of a side now

Answer 1

Heya !!!


Let the length of each side of square garden be X m.




Area of square garden = (X)² m


Width is increase by 1 m and length is increased by 3 m.


Width of rectangular garden = ( X +1) m


Length of rectangular garden = ( X +3) m






According to question,



Area of resulting rectangular garden = (Area of square garden ) + 19





Length × Breadth = (X)² + 19




(X+3) × (X+1) = (X)² + 19



X ( X +1) + 3(X +1) = (X)² + 19




X² + X + 3X + 3 = (X)² + 19





X² - X² + X + 3X = 19 -3




4X = 16



X = 16/4


X = 4 m





Length of resulting rectangular garden = (X +3) = (4+3) = 7 m


And,



Breadth of resulting rectangular garden = (X+1) = (4+1) = 5 m




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