Find the perimeter of the figure given below

Solution:

The given figure represents a rectangle

We have to find the perimeter of the given rectangle.

Length = 5x - y

Breadth = 2(x + y) = 2x + 2y

Perimeter of rectangle = 2(length + breadth)

Length + breadth = 5x - y + 2x + 2y

By combining like terms,

= 5x + 2x - y + 2y

By distributive property,

= (5 + 2)x + (-1 + 2)y

= (7)x + (1)y

= 7x + y

Perimeter = 2(7x + y)

= 14x + 2y units

Therefore, the required perimeter is 14x + 2y units.

✦ Try This: Find the perimeter of the figure given below:

☛ Also Check: NCERT Solutions for Class 7 Maths Chapter 12

NCERT Exemplar Class 7 Maths Chapter 10 Problem 81

Find the perimeter of the figure given below

Summary:

The perimeter of the given figure is 14x + 2y units

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