3x^2+12x+15=0
Then divide by 3 to get the x by itself.
x^2+4x+5=0
Factor to (x+5) (x-1) and solve for the two values of x.
The rate per minute (speed per minute) = 174/3 = 58 words/minute
In 1 minute he can type 58 words, in 8 minutes he can type 8 times more:
58 x 8 = 464 words in 8 minutes
The area of the entire square is 144 in^2
The area of the triangle is 6 x 4 / 2
The area of the triangle is 12
144-12= 132
the answer : 132 in ^2