the length of rectangular garden exceed breadth by 6 metres. if area of garden is 216 metre Square . find the length and breadth of garden
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Let the breadth of rectangle = x
Length = (x + 6)
Given, Area = 216 m²
A/q,
➡ x * ( x + 6 ) = 216
➡ x² + 6x = 216
➡ x² + 6x - 216 = 0
➡ 333222
➡ x² + 18x - 12x - 216 = 0
➡ x ( x + 18 ) - 12 ( x + 18 )
➡ ( x - 12 ) ( x + 18)
➡ x = 12 & x = -18
x is breadth of rectangle so it can not be -ve.
so,
Breadth =x = 12m
Length = x + 6 = 12 + 6 = 18m
Hope it will help you !!
Length = (x + 6)
Given, Area = 216 m²
A/q,
➡ x * ( x + 6 ) = 216
➡ x² + 6x = 216
➡ x² + 6x - 216 = 0
➡ 333222
➡ x² + 18x - 12x - 216 = 0
➡ x ( x + 18 ) - 12 ( x + 18 )
➡ ( x - 12 ) ( x + 18)
➡ x = 12 & x = -18
x is breadth of rectangle so it can not be -ve.
so,
Breadth =x = 12m
Length = x + 6 = 12 + 6 = 18m
Hope it will help you !!
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