The area of a rectangular field is given by the trinominal t^2-4t-45. The length of the rectangle is t+5. What is the expression for the width of the field?
A) t-9
B) t-5
C) t-11
D) t-7
Can someone please help? Thank you!
Quiz answer
1 .b
2.c
3.a
4.b
5.c
6.a
7.c
8.a
9.b
its A) t-9
I can confirm Mr.right is 100% correct!!!
thank you so much!
a. t - 9
2022 and still right
To find the expression for the width of the rectangular field, we can use the given information about the length of the rectangle.
The area of a rectangle is calculated by multiplying its length and width. In this case, the area is given by the trinomial t^2-4t-45.
We also know that the length of the rectangle is t+5.
To find the width, we need to divide the area by the length:
Width = Area / Length
Substituting the given values:
Width = (t^2-4t-45) / (t+5)
Next, we can factor the numerator t^2-4t-45 to simplify the expression:
t^2-4t-45 = (t-9)(t+5)
Now, we can rewrite the expression for the width:
Width = ((t-9)(t+5)) / (t+5)
Notice that (t+5) in the numerator and denominator can be canceled out:
Width = (t-9)
Therefore, the expression for the width of the rectangular field is (t-9).
The answer is A) t-9.