Question

Help with trig please.

The areas of two similar polygons are in the ratio 121:100. Find the ratio of the corresponding sides.

Answer 1

11:10

Explanation:

ratio of areas = (ratio of sides)²

121/100 = (ratio of sides)²

Square root both sides

11/10 = ratio of sides

Answer 2

11:10

Explanation:

If the scale factor for similar shapes is a:b

We know the ratio of the sides is a:b

areas is a^2 : b^2

volumes is a^3 : b^3

The ratio of the areas is 121:100

Take the square root to find the scale factors

sqrt(121) : sqrt(100)

11:10

This is also the ratio of the sides