The length of a rectangular field exceeds its breadth by 8 m and the area of field is 240 m². find the dimensions of the field.
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Answered by
9
Heya !!
Let The breadth of the field be X m.
Then , length = ( x + 8 ) m.
Therefore,
Area = X ( X + 8 ) m².
=> ( X + 8 )X = 240
=> X² + 8X - 240 = 0
=> X² + 20X - 12X - 240 = 0
=> X ( X + 20 ) - 12 ( X + 20 ) = 0
=> ( X + 20 ) ( X - 12 ) = 0
=> X = 12
Breadth of rectangular park = X = 12 m.
And,
Length = X + 8 = 12 + 8 = 20 m.
Let The breadth of the field be X m.
Then , length = ( x + 8 ) m.
Therefore,
Area = X ( X + 8 ) m².
=> ( X + 8 )X = 240
=> X² + 8X - 240 = 0
=> X² + 20X - 12X - 240 = 0
=> X ( X + 20 ) - 12 ( X + 20 ) = 0
=> ( X + 20 ) ( X - 12 ) = 0
=> X = 12
Breadth of rectangular park = X = 12 m.
And,
Length = X + 8 = 12 + 8 = 20 m.
Answered by
1
Hi!!!!!
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