The first step to solve this problem is to find the area of
the rectangular piece of fabric.
A of triangle = bh/2
A = (14 cm) (6 cm) /2
A = 84 cm^2 / 2
A = 42 cm
And since there are 31 pieces of the fabric, the total area
of all the pieces of fabric is:
31 pieces of fabric x 42 square centimeters per piece =
1,302 square centimeters
To computer how many congruent triangular patches can be
cut, you have to divide the total area of the fabric pieces with the area of
the congruent triangle:
1,302 square centimeters / 21 square centimeters = 62
Therefore, Leia can cut 62 patches.
The answer is 12.56 because when you divide 43.96 by 3 1/2 that is what you get.
So hmm a conjugate, is pretty much just, the same binomial, but with a different sign in the middle, so, a + b, has a conjugate of a - b
or -a + b, has a conjugate of - a - b, or c - d, has a conjugate of c +d, and so on
anyway, the idea being, to "rationalize" the expression, namely, getting rid of the pesky radical in the denominator
so, we'll multiply the expression by 1, since anything times 1 is just itself
however, bear in mind, that 1, can be a/a, or b/b, or cheese/cheese, or anything/anything
so, we'll multiply the top and bottom of the fraction, by the conjugate of the denominator
anyhow, that said