Question

Consider that the length of rectangle A is 10 cm and its width is 6 cm. Which rectangle is similar to rectangle A? A) A rectangle with a length of 9 cm and a width of 6 cm. B) A rectangle with a length of 15 cm and a width of 9 cm. C) A rectangle with a length of 14 cm and a width of 7 cm. D) A rectangle with a length of 12 cm and a width of 8 cm.

Answer 1

B

Explanation:

10/6=5/3=15/9

Answer 2

B) A rectangle with a length of 15 cm and a width of 9 cm

Explanation:

In similar figures sides are in proportion .The given rectangle A has length and width in the ratio 10:6=5:3.

For option A ratio of sides for the rectangle = 9:6=3:2

For option B ratio of sides =15:9=5:3

For option C ratio of sides =14:7=2:1

For option D ratio of sides =12:8=3:2.

Option B that is A rectangle with a length of 15 cm and a width of 9 cm has the same ratio of sides as that of rectangle with side 10 cm and width 6cm.

Hence the two rectangles are similar.