,Okay, so here is how to calculate the amount of the trade discount:
I: $149,500 * .10 (10%) = 14,950 (this is the 10% discount)
149,500 - 14,950 = 134,550 (how much it costs with a 10% discount)
II: 134,550 * .5 (5%) = 6727.50
134,550 - 6727.50 = 127,822.50
III: 127,822.50 * .4 (4%) = 5112.90
The amount of the trade discount is: $14,950 + $6727.50 + $5112.90 = 26,790.40 dollars.
It is hard to say how Faelyn's work shows the polynomial is prime, but it is.
There are no factors of 6*4 = 24 that add to -5, so the polynomial cannot be factored using real numbers.
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The expression of suggestion 2 is a different polynomial than the one Faelyn is factoring.
Taking a factor of 2x out of the first group does not help it match the factoring of the second group.
Dividing one or the other of the groups by -1 will not make the binomials the same.
Let the width of the yard be w.
Since the length is 18feet longer, l = w + 18
Perimeter for rectangle = 2(l + w)
2(l + w) = 72
2(w+18 + w) = 72 Divide 2 on both sides
(w + 18 + w) = 36
2w + 18 = 36
2w = 36 - 18
2w = 18 Divide 2 on both sides
w = 18/2
w = 9
Recall, length l = w + 18, l = 9 + 18 = 27
Hence width, w = 9, length,l = 27
Area of rectangle = l × w = 27 × 9 = 243
Area of rectangular yard = 243 square feet.
