The area of a field can be expressed as A = 2x + 6 / x + 1 square yards. If the length is
L = x^2 - 9 / 2x + 10 what is the width? Show all work.

The width of the field is 4x + 20 / x² -2x -3 yards

Step-by-step explanation:

The area of a rectangular field is given by the following formula:

area = length*width

In this case we want to find the width of this field, therefore if we isolate the width in the expression above we will have a suitable expression:

width*length = area

width = area / length

So applying the data from the problem, we have:

width = [(2x + 6)/(x + 1)] / [(x² - 9)/(2x + 10)]

width = [(2x + 6)/(x + 1)]*[(2x + 10)/(x² - 9)]

width = 2(x + 3)*(2x + 10) / (x+1)*(x - 3)*(x + 3)

width = 2*(2x + 10) / (x + 1)*(x - 3)

width = 4x + 20 / x² -2x -3

the transitive property of equality.

step-by-step explanation:

the correct answer is:

the transitive property of equality.

explanation:

we know that  ∠bcd is congruent to  ∠pbc. we also know that  ∠pbc is congruent to  ∠bad.

we can substitute  ∠bad for  ∠pbc in the first angle congruence statement to give us:

∠bcd is congruent to  ∠bad.

algebraically, the transitive property states if a=b and b=c, then a=c. it basically allows us to substitute equal values. since that is what we did, this is the transitive property.

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