Question
A square is dilated by a scale factor of 3/4 to create a new square. The area of the new square is...
Answers
Reiny
original side --- x
original area = x^2
new side = (3/4)x
new area = (9/16)x^2
so new square has area of 9/16 of the old
or
the areas of similar shapes are proportional to the square of their corresponding sides
so 3/4 ----> 3^2/4^2 = 9/16
original area = x^2
new side = (3/4)x
new area = (9/16)x^2
so new square has area of 9/16 of the old
or
the areas of similar shapes are proportional to the square of their corresponding sides
so 3/4 ----> 3^2/4^2 = 9/16