Question

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.

Answer 1

From the given figure,

Given, length of green side = g and length of red side = p

When we take three figures, 

Total length of three figures =3(2g + 2p) = 6g + 6p

If 100 such shapes are joined together, then the expression becomes

= 100(2g + 2p)

= 200g + 200p

= 200(g + p)

Hence, the required expression is 200(g + p).