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Yes. Take a simple rectangle of 1cm x 6cm. It's area is 6cm2 and its perimeter is 14cm. Now - a rectangle if 2cm x 3cm has the same area, but has a perimeter of just 10 Centimetres !
There is a square that has a length of 4. Area: 4 x 4: 16 Perimeter: 4+4+4+4= 16 Yes, there is a shape with the same perimeter and area.
a square
Most shapes have different perimeter than area, as far as value.
they are different because perimeter is the out side of the shape and area is inside of the shape.