Using the perimeter formula of rectangle,
The length of rectangle is 6 cm .
Perimeter: In geometry, the perimeter of a shape is defined as the total length of its boundary.
or perimeter of a polygon is sum of sides of polygon.
we have given in question that,
length of rectangle (l) = (x+3) cm
width of rectangle (w) = 2x cm
perimeter of rectangle (P) = 24 cm
perimeter of a rectangle = 2 ( length + width)
i.e , 2( l + w) = 24
putting values of l and w in above formula we get
2 ( ( x + 3) + 2x ) = 24
=> 2(x+3) + 4 x = 24
=> 2x + 6 + 4x = 24
=> 6x = 24-6 = 18
=> x = 3
we have to calculate the length and width of rectangle so, put x = 3 in length and width
length = x + 3 = 6 cm
width = 2x = 6 cm
Hence, the length of rectangle is 6 cm.
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