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# Find the areas of the following figures by counting square:

"

**To do:**

We have to find the areas of the given figures by counting squares.

**Solution:**

(a) The number of fully filled squares in the given figure is 9 squares

Therefore,

The area of the given figure is $9$ square units.

(b) The number of fully filled squares in the given figure is 5 squares

Therefore,

The area of the given figure is $5$ square units.

(c) The number of fully filled squares in the given figure is 2 squares and there are 4 half-filled squares also,

Therefore,

The area of the given figure $=2+4\times\frac{1}{2}$

$=2+2$

$=4$ square units.

(d) The number of fully filled squares in the given figure is 8 squares

Therefore,

The area of the given figure is $8$ square units.

(e) The number of fully filled squares in the given figure is 10 squares

Therefore,

The area of the given figure is $10$ square units.

(f) The number of fully filled squares in the given figure is 2 squares and there are 4 half-filled squares also,

Therefore,

The area of the given figure $=2+4\times\frac{1}{2}$

$=2+2$

$=4$ square units.

(g) The number of fully filled squares in the given figure is 4 squares and there are 4 half filled squares also,

Therefore,

The area of the given figure $=4+4\times\frac{1}{2}$

$=4+2$

$=6$ square units.

(h) The number of fully filled squares in the given figure is 5 squares

Therefore,

The area of the given figure is $5$ square units.

(i) The number of fully filled squares in the given figure is 9 squares

Therefore,

The area of the given figure is $9$ square units.

(j) The number of fully filled squares in the given figure is 2 squares and there are 4 half-filled squares also,

Therefore,

The area of the given figure $=2+4\times\frac{1}{2}$

$=2+2$

$=4$ square units.

(k) The number of fully filled squares in the given figure is 2 squares and there are 4 half-filled squares also,

Therefore,

The area of the given figure $=4+2\times\frac{1}{2}$

$=4+1$

$=5$ square units.

(l) From the given figure, we observe,

Covered Area | Number | Area (square units) |

Fully filled squares | 2 | 2 |

Half filled squares | 0 | 0 |

More than half-filled squares | 6 | 6 |

Less than half-filled squares | 6 | 0 |

Therefore,

The total area covered by squares $ =2+6$

$ = 8$ square units.

(m) From the given figure, we observe,

Covered Area | Number | Area (square units) |

Fully filled squares | 5 | 5 |

Half filled squares | 0 | 0 |

More than half-filled squares | 9 | 9 |

Less than half-filled squares | 12 | 0 |

Therefore,

The total area covered by squares $ =5+9$

$ = 14$ square units.

(n) From the given figure, we observe,

Covered Area | Number | Area (square units) |

Fully filled squares | 8 | 8 |

Half filled squares | 0 | 0 |

More than half-filled squares | 10 | 10 |

Less than half-filled squares | 9 | 0 |

Therefore,

The total area covered by squares $ =8+10$

$ = 18$ square units.

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