The length of a rectangle is 3m less than twice the width, and the area of the rectangle is 65m. Find the dimensions of the rectangle.
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Given that , The Length of Rectangle is 3 less than twice the width of Rectangle and Area of Rectangle is 65 m² .
Exigency To Find : The Length & Width of Rectangle ?
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❍ Let's say that Width of Rectangle be x m and Length of Rectangle be ( 2x - 3 ) m , i.e. Length of Rectangle is 3 less than twice the width of Rectangle .
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⠀⠀▪︎ We've the expressions for the Length and Width of Rectangle . We'll find the actual value of Length and Width of Rectangle using formula to find Area of Rectangle .
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》 Formula for Area of Rectangle is Given by — :
As , We know that ,
- Dimensions can't be in –ve , So ignoring –ve value of x we get , x = 13/2 = 6.5 metres
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Therefore,
- Length of Rectangle is , x = 6.5 m
- Width of Rectangle is , ( 2x - 3 ) = [ 2(6.5) - 3 ] = 13 - 3 = 10 m
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