If perimeter of two parallelograms are equal, then their areas are also equal. Is the given statement true or false?
Solution:
Given, if the perimeter of two parallelograms are equal, then their areas are also equal
We have to determine if the given statement is true or false.
Area is the amount of space occupied by a two-dimensional figure.
Area of parallelogram = base × corresponding height
= b × h square units
Perimeter is the total length of the boundary of any closed shape.
Perimeter of parallelogram = 2(length + breadth)
= 2(a + b) units
The corresponding height and side of two parallelograms can be different.
Therefore, the areas cannot be equal.
✦ Try This : Find the ratio of circumference of a circle to its diameter, if the diameter of circle is 4 cm.
Given, the diameter of circle = 4 cm
We have to find the ratio of circumference of a circle to its radius.
Radius = 4/2 = 2cm
Circumference of circle = 2πr
Where, r is the radius of circle
= 2π(2)
= 4π
Circumference : Radius = 4π : 4
= π : 1
Therefore, the ratio of circumference of a circle to its diameter is π : 1.
☛ Also Check: NCERT Solutions for Class 7 Maths Chapter 11
NCERT Exemplar Class 7 Maths Chapter 9 Problem 59
If perimeter of two parallelograms are equal, then their areas are also equal. Is the given statement true or false?
Summary:
The given statement, “If the perimeter of two parallelograms are equal, then their areas are also equal” is false.
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