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# Sonal and Anmol then made another sequence of the designs. Three of the designs are shown below.

(a) Complete the table

(b) Draw a graph of rows and number of white tiles. Draw another graph of the number of rows and the number of purple tiles. Put the number of rows on the horizontal axis.

(c) Which graph is linear?

**Solution:**

(a) Completing the table we have:

Rows, r | 4 | 6 | 8 |

Number of white tiles, w | 9 | 15 | 21 |

Number of purple tiles, p | 1 | 6 | 15 |

(b) The graph of r vs w and r vs p is plotted below:

(c) r vs w is linear whereas r vs p is non linear

**✦ Try This: **The table below gives the sum of internal angles of a regular polygon. Plot the graph as per the table given below and find the sum of internal angles for regular polygons of sides 3, 5 and 7

Number of sides of regular polygon | 4 | 6 | 8 | 10 |

Sum of internal angles of regular polygon | 360 | 720 | 1080 | 1440 |

The graph of the given table is given below:

From the graph above we can infer the following:

(a) Number of sides of polygon (n) = 3; Sum of internal angles of polygon = 180 degrees

(b)Number of sides of polygon (n) = 5; Sum of internal angles of polygon = 540 degrees

(c)Number of sides of polygon (n) = 7; Sum of internal angles of polygon = 900 degrees

**☛ Also Check: **NCERT Solutions for Class 8 Maths Chapter 15

**NCERT Exemplar Class 8 Maths Chapter 12 Problem 86**

## Sonal and Anmol then made another sequence of the designs. Three of the designs are shown below. Complete the table (b) Draw a graph of rows and number of white tiles. Draw another graph of the number of rows and the number of purple tiles. Put the number of rows on the horizontal axis. (c) Which graph is linear?

**Summary:**

The table showing the no. of white and purple tiles for the given number of rows is given in the solution above. The graph of no. of rows vs white tiles is a straight line

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