Answer:
The length of the rectangle is
.
Step-by-step explanation:
<u>The complete question is:</u> The area of a rectangle is 7/9 square feet. The width of the rectangle is 2 1/3 feet. What is the length of the rectangle?
Let the length of the rectangle be represented as 'L' and the width of the rectangle be represented as 'W'.
As we know that the area of the rectangle is given by;
Area of rectangle = Length of rectangle
Width of rectangle
Or
A = L
W
Here, we know the value of A = 7/9 square feet and W = 2 1/3 feet.
SO,

Hence, the length of the rectangle is
.
Given:

where,
.
To find:
The value of
.
Solution:
We have,

Differentiate with respect to x.

Using chain rule, we get

Now, put x=5.

![[\because g(5)=-1,g'(5)=8]](https://tex.z-dn.net/?f=%5B%5Cbecause%20g%285%29%3D-1%2Cg%27%285%29%3D8%5D)
![[\because f'(-1)=3]](https://tex.z-dn.net/?f=%5B%5Cbecause%20f%27%28-1%29%3D3%5D)

Therefore, the value of
is 24.
Is there more to the question?
Answer:
A translation is a type of transformation that takes each point in a figure and slides it the same distance in the same direction.
A rotation means turning around a center.
A reflection is a transformation representing a flip of a figure.
Let
a---------> length of one of the two congruent sides of the triangle
we know that
The sum of the lengths of any two sides of a triangle is greater than the length of the third side (Triangle Inequality Theorem)
so
(a+a) > 8
2a > 8
a> 4
Rounded to the nearest tenth, <span>the smallest possible length of a is 4.1
</span>
the answer is
4.1 units