CTET PAPER I 2021 · PYQ · Perimeter and Area · medium
Identify the correct statement.
A.If two figures have same area, their perimeters are equal.
B.If two figures have same perimeter, their areas are equal.
C.The units of perimeter and area are same.
D.The shape of figure determines the perimeter.✓ Correct
Explanation
The shape of a figure indeed determines its perimeter—different shapes with the same area can have different perimeters, and the boundary length depends on the figure's shape. Statement 1 is false: a 4×4 square and 2×8 rectangle both have area 16 but different perimeters (16 vs 20). Statement 2 is false: figures with same perimeter can have different areas. Statement 3 is false: perimeter is measured in linear units (cm, m) while area is in square units (cm², m²). Only statement 4 is correct.
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