9514 1404 393
Answer:
3a by 4a
Step-by-step explanation:
For dimensions L and W, the area and perimeter are ...
A = LW = 12a^2
P = 2(L+W) = 14a
Using the second equation, we can find L:
L +W = 7a . . . . . divide by 2
L = 7a -W
Substituting into the area formula gives the quadratic ...
(7a -W)(W) = 12a^2
W^2 -7aW +12a^2 = 0 . . . . arrange in standard form
(W -3a)(W -4a) = 0 . . . . . . . factor (find factors of 12 that total 7)
Then we have the two solutions ...
W = 3a, L = 4a
W = 4a, L = 3a
The rectangle dimensions are 3a by 4a.
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Answer:
13
Step-by-step explanation:
To find g f(2) , evaluate f(2) and substitute the value obtained into g(x)
f(2) = 2(2) + 1 = 4 + 1 = 5 , then
g(5) = 3(5) - 2 = 15 - 2 = 13
Step-by-step explanation:
t=2+5×j
j=5
t=2+5×5
t=27