You can write two equations using the given information:
.. L = W +8
.. L * W = 609
Using substitution, you get a quadratic.
.. (W +8) * W = 609
.. W^2 +8W -609 = 0
Not surprisingly, you're looking for factors of 609 that differ by 8.
.. 609 = 1*609 = 3*203 = 7*87 = 21*29
The last two are the factors of interest.
.. (W +29)(W -21) = 0
The width of the rectangle is 21 feet, the length is 29 feet.
_____
Sometimes it is easier to work with the average dimension. Here, let that be x. Then you have
.. (x +4)(x -4) = 609
.. x^2 -16 = 609
.. x^2 = 625 = 25^2 . . . . . . . one of your memorized math facts
So, the dimensions are
.. 25 +4 = 29 by 25 -4 = 21, that is, 29 ft by 21 ft.
Answer:
-8m + (-7.7n - 6)
Step-by-step explanation:
You distribute the negative in front of the parentheses, to everything inside of the parentheses, and change the sign to addition.
Answer:
The scale factor is now 3
Step-by-step explanation:
6/2=3
12/4=3
The smaller square was increased by the scale factor of 3
Answer:
0
Step-by-step explanation:
Eliminate the opposite
Answer:
7
Step-by-step explanation:
I don't completely understand what you were asking, but if you were counting by 7's, 91 would be after 84 instead of just 90.