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In the given figure, the length of a green side is given by g and that of the red side is given by p

Write an expression for the following pattern. Also write an expression if 100 such shapes are joined together

Solution:

Given, the length of green side is given by g

The length of red side is given by p

We have to write an expression for the given pattern.

Considering one part,

Number of green sides = 2

Length of green sides = 2g

Number of red sides = 2

Length of red sides = 2p

So, length of one figure = (2g + 2p)

From the given figure,

Length of figure = 3(2g + 2p)

= 3(2g) + 3(2p)

= 6g + 6p

Therefore, the required expression is 6g + 6p

Given, 100 such shapes are joined together.

We have to write a expression for the joined shape

Length of the 100 such shapes = 100(2g + 2p)

= 100(2g) + 100(2p)

= 200g + 200p

Therefore, the required expression is 200g + 200p

✦ Try This: The length of a rectangle is 5x + 6y + 6z and the perimeter is 12x + 9y + 22z, find the breadth of the rectangle

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

NCERT Exemplar Class 7 Maths Chapter 10 Problem 85 (ii)

In the given figure, the length of a green side is given by g and that of the red side is given by p, Write an expression for the following pattern. Also write an expression if 100 such shapes are joined together

Summary:

In the given figure, the length of a green side is given by g and that of the red side is given by p.

An expression for the given pattern is 6g + 6p. An expression for 100 such shapes is 200g + 200p

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