Answer:
Step-by-step explanation:
A = L * W
A = 22
L = 2x + 1
W = 3x + 1
now we sub
22 = (2x + 1)(3x + 1)
22 = 6x^2 + 2x + 3x + 1
22 = 6x^2 + 5x + 1
6x^2 + 5x + 1 - 22 = 0
6x^2 + 5x - 21 = 0 <======part A
(3x + 7)(2x - 3) = 0
3x + 7 = 0 2x - 3 = 0
3x = -7 2x = 3
x = -7/3 x = 3/2
I believe that x = -7/3 is an extraneous solution because when u plug it into ur length and width u get a negative number....and I dont think the sides of ur rectangle have negative values, however, it does work in ur equation and it equals 22 when multiplied...so I am not 100% sure
length = 2x + 1.......2(3/2) + 1........3 + 1 = 4
width = 3x + 1......3(3/2) + 1......9/2 + 1......9/2 + 2/2 = 11/2 (or 5.5) meters <===
-29
-5(6) + 1
-30 + 1
-29
hope this helps !
I hope it helped youuuuuu
Since the two triangles are proportional, there is a scale for going from one triangle to the other
The equation which the civil engineer can use to find the number of rows is 2x² - 12x = 112. Option D
<h3>How to determine the equation</h3>
Let the number of rows be x
Number of cars in each row = x - 6 = 56
Number of rows for parking lot = 2x
Then,
Number of cars for new parking lot = 2x ( x - 6 = 56)
Expand the expression,
2 ( x - 6 = 56)
2x² - 12x = 112
Thus, the equation which the civil engineer can use to find the number of rows is 2x² - 12x = 112. Option D
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