A = LW
A = 72
L = W + 1
72 = W(W + 1)
72 = W^2 + W
W^2 + W - 72 = 0
(W + 9)(W - 8) = 0
W + 9 = 0
W = -9......extraneous solution...does not work here
W - 8 = 0
W = 8 <==
L = W + 1
L = 8 + 1
L = 9
so the width (W) is 8 ft and the Length is 9 ft
Since it’s a square we know that GJ has to be the same as GH. To find a diagonal you would do a^2 + b^2 = c^2. Which gives us about 9.19. So GJ=6.5 and JH=9.2
Wouldn’t it be (-2+12)/2 which is 10/2 which is 5. Because that’s how the midpoint formula works you find starting point and end point, you add those two up together and then divide by 2. So the answer for this one is 5.
Well, their speeds are (
![V_1](https://tex.z-dn.net/?f=V_1)
is Jack's speed, and
![V_2](https://tex.z-dn.net/?f=V_2)
is Richard's.
![V_1 = \frac{1}{5} houses/day \\ V_2 = \frac{1}{7} houses/day \\ V = V_1 + V_2 = \frac{1}{5}+\frac{1}{7} = \frac{7+5}{35} = \frac{12}{35}](https://tex.z-dn.net/?f=V_1%20%3D%20%5Cfrac%7B1%7D%7B5%7D%20houses%2Fday%20%5C%5C%20V_2%20%3D%20%5Cfrac%7B1%7D%7B7%7D%20houses%2Fday%20%5C%5C%20V%20%3D%20V_1%20%2B%20V_2%20%3D%20%5Cfrac%7B1%7D%7B5%7D%2B%5Cfrac%7B1%7D%7B7%7D%20%3D%20%5Cfrac%7B7%2B5%7D%7B35%7D%20%3D%20%5Cfrac%7B12%7D%7B35%7D)
They, together, can paint 12 houses in 35 days. To get a single house, we only have to calculate
![\frac{35}{12}](https://tex.z-dn.net/?f=%5Cfrac%7B35%7D%7B12%7D)
which is very close to 3 (a bit below)