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CBSE Class 8 Mathematics Question 5 of 9

Area — Question 5

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5
Question
In this figure, if the sidelength of the square is doubled, what is the increase in the areas of the regions 1, 2, and 3? Give reasons.
Answer

Let ‘a’ be the side of the square. Area of triangle, DCB (region 3) Thus, the increase in the areas of regions 1, 2, and 3 is 4 times. Reason: If the sidelength of the square is doubled, then the area becomes 4 times.