Answer:
A The ratio of the areas is the square of the ratio of the side lengths.
Step-by-step explanation:
10 x 3.5 = 35 and would be the same size each
35 x 35 = 1225
<em>Ratio of areas = 10x10 and 10x3.5 x 10 x 3.5 = 100 : 1225 = 4: 49 </em>
Therefore just from doing this we can find easily by referring back to ratio above shown.
<em>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</em>
<em>sqrt 1225 is 35 and becomes a square root of the area</em>
<em>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.</em>
<em>when we cross multiply (division) we find find the ratio of areas 100:1225 is NOT TRUE AND NOT SAME AS ratio 10:35</em>
<em>We therefore left with DIVIDING THE ratio SIDES AS SIMPLIFIED into the Areas ABOVE to show-</em>
<em>1225/49 = 25 same here we have the area same ratio as </em>
<em>100/4 = 25 same </em>
<em>10:35 = 3.5^2 + 3.5^2 =12.50 + 12.50 = 25</em>
<em>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</em>