I. The value of x is equal to 8.
II. The dimensions of the rectangle are 13 and 5 inches respectively.
<u>Given the following data:</u>
- Area of a rectangle = 65 square inches.
- Length of rectangle = x + 5 inches
- Width of rectangle = x - 3 inches
To find the value of x, and the dimensions of the rectangle:
Mathematically, the area of a rectangle is given by the formula:

Substituting the values, we have:

x = 8 or x = -10
<u>For the</u><u> length:</u>
when x = 8

Length = 13 inches.
<u>For the</u><u> width:</u>
when x = 8

Length = 5 inches.
Find more information: brainly.com/question/11037225
Answer:
x = 20 units
Step-by-step explanation:
By geometric mean theorem:

(1) C and (2) D
(1)
distribute the left side of the equation
2h - 16 - h = h - 16 ( simplify left side )
h - 16 = h - 16
Since both sides are equal, any value of h will make the equation true.
Hence there are infinitely many solutions to the equation → C
(2)
3 + 6z = 13 + 6z ( subtract 6z from both sides )
3 = 13 ← not possible
Hence there are no solutions to the equation → D
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Place your dot roughly around 2.23. The square root of 5 is 2.23