CBSE Class 8 Mathematics Question 4 of 12

Proportional Reasoning 1 — Question 4

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4
Question
Look at the following rectangles. Which rectangles are similar to each other? You can verify this by measuring the width and height using a scale and comparing their ratios.
Answer

Using a scale, we measure the width and height of given rectangles. Here, the ratio ‘Width : Height’ for given rectangles A, B, C, D, and E are respectively 1 : 3, 3 : 2, 9 : 4, 7 : 2 and 3 : 1. These ratios are all distinct. The ratios of A and E are 1 : 3 and 3 : 1 respectively. ∴ For A and E, one side is 3 times the other side. ∴ Only rectangles A and E are similar.