Answer:
A The ratio of the areas is the square of the ratio of the side lengths.
Explanation:
10 x 3.5 = 35 and would be the same size each
35 x 35 = 1225
Ratio of areas = 10x10 and 10x3.5 x 10 x 3.5 = 100 : 1225 = 4: 49
Therefore just from doing this we can find easily by referring back to ratio above shown.
D IS NOT TRUE This means the ratio of the areas (1225) is the square root of the ratio (sqrt1225=35) of the side lengths (35:35) is not true
sqrt 1225 is 35 and becomes a square root of the area
Where matching this to ratio of sides is not true as 35:35= 1:1 and the ratio to the sides are not the same as ratio of two areas. But when we square we get the answer right.
when we cross multiply (division) we find find the ratio of areas 100:1225 is NOT TRUE AND NOT SAME AS ratio 10:35
We therefore left with DIVIDING THE ratio SIDES AS SIMPLIFIED into the Areas ABOVE to show-
1225/49 = 25 same here we have the area same ratio as
100/4 = 25 same
10:35 = 3.5^2 + 3.5^2 =12.50 + 12.50 = 25
A IS TRUE. as when we square the ratio 1=3.5 and add them together 1=3.5^2 +3.5^2 we get answer = 25