I believe the correct answer is D.
Length = 13 = (x + 3)
Width = 14 = (x + 4)
x2 + 7x + 12 = area of the rectangle
can be factored into
(x + 3)(x + 4)
Let L = one of the factors (x + 3)
Let W = the other factor (x + 4)
If x = 10 then
(10 + 3) = 13 = L
(10 + 4) = 14 = W
Checking this can be checked a couple of ways
Plug x = 10 into the original equation
x2 + 7x + 12
102 + 7(10) 12 = 100 + 70 + 12 = 182 = Area
Multiplty the factors
L x W = 13 x 14 = 182 = Area
I hope you find this useful if you have any questions please send me a message.
<u>Answer:</u>

<u>Explanation:</u>
We are given product of two consecutive odd integers is equal to 72.
Let one integer be x , then since these are consecutive and odd so the other integer will be equal to x + 1.
Their product is equal to 72. So,
x * (x + 1) = 72
=> 
=>
is the required quadratic equation.
Answer:
Step-by-step explanation:
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