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Question

Find the ratio of the total area of the grid shown below to the approximate area covered by the pizza if the side of smallest square is 1 cm and each such square is congruent?

A

6:5
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B

4:3
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C

5:3
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D

7:3
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Solution

The correct option is D
7:3
Side of the smallest square =1 cm

⇒ Area of one such square =1×1=1 cm2

⇒ Total area of the square grid =7×7=49 cm2

Let us count the squares that are completely covered, half covered and so on. Also, these can be marked as shown below:

Now, we need to write the number of squares that are covered by the shape.

Therefore, the approximate area of the given shape
=12×(1)+0×12+9×(1)+8×(0)
=12+0+9+0
=21 cm2

Hence, the required ratio = 4921 = 73
7:3


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