The length of the rectangle is 12 cm and the width of the rectangle is 4cm.
The whole length of a shape's boundary is referred to in geometry as the perimeter of the shape. By multiplying the lengths of all the sides and edges that surround an object, the perimeter may be calculated. It is measured in measures of length that are linear, such as centimeters, meters, inches, or feet. Whether it be a two-dimensional shape or a one-dimensional length, a perimeter is a closed path that contains, surrounds, or delineates it.
Let x is the width
Length=2x+4
Perimeter=sum of all the sides
32=x+x+(2x+4)+(2x+4)
32=6x+8
24=6x
x=4
So, x=4cm is the width.
Now, we have to solve for the length,
Length=2x+4
=2(4)+4
=12cm
So,12cm is the length.
Therefore, the length of the rectangle is 12 cm and the width of the rectangle is 4cm.
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