If two figures are similar, it means that the ratio of their corresponding sides are equal. This ratio also equals the ratio of their area. Considering the given scenario,
Area of figure A = 48
Area of figure B = 75
The ratio of the area of figure B to figure A is
75/48
= 25/16
If the length of one side of figure A is 6 feet, let the length of the corresponding side of figure B be x. Thus,
x/6 = 25/16
By cross multiplying, we have
16x = 25 * 6 = 150
x = 150/16
x = 9.375
x = 9 3/8
The length of the corresponding side is 9 3/8
