Jason is working in his garden. the garden is triangular. the length of the longest side is 10 feet. he uses a portion of the garden for herbs. the portion is a similar triangle whose longest side is 4 feet. what is the percentage of the area of the herb garden compared to the area of the entire garden?

To get the percentage of area we shall proceed as follows:
linear scale factor =length of herb/ length of garden
=4/10
but
area scale factor=(linear scale factor)^2
area scale factor=(2/5)^2=4/25
thus the percentage area proportion will be:
4/25*100
=16%

First step is to get rid of the square root. remember that a square root is the same as raising to the (1/2) power. see below: multiply exponents per exponent rules to get: remember you subtract exponents from the denominator and add exponents in the numerator so: simplify further: so a is the correct choice. if you don't understand this google exponent rules and it will you understand. look at the image results.