The new dimension of the rectangle are as follows;
<h3>How to find the new dimension of the rectangle?</h3>
The new dimension of the rectangle can be found as follows;
The sides of a square are equal.
Therefore,
let the side of the square = x
Hence,
length = x + 3
width = x + 1
area of rectangle = lw
where
Therefore,
24 = (x + 3)(x + 1)
24 = x² + x + 3x + 3
24 = x² + 4x + 3
x² + 4x + 3 - 24
x² + 4x - 21 = 0
(x - 3)(x + 7)
Therefore,
x = 3 or -7
It can't be negative. Hence, x = 3 ft
Therefore, the new dimension of the rectangle are as follows;
- x + 3 = 3 + 3 = 6 ft
- x + 1 = 3 + 1 = 4 ft
learn more on rectangles here: brainly.com/question/17562456
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Answer:
$7826.78
Step-by-step explanation:
Total income = 7950
With a service fee charge of 1.55%, the service fee charge =
Net income = 7950 - 123.225 = 7826.775 = $7826.78
An alternative solution:
Service charge = 1.55%
Net income = (100 - 1.55)% × 7950
= 98.45% × 7950 =
Answer:
The solutions to the equation are 1, 0.375.
Step-by-step explanation:
The equation is already in factored form.
The solutions to the system are the values of x that make one or the other of the factors be zero.
x -1 = 0 . . . when x = 1
8x -3 = 0 . . . when x = 3/8 = 0.375
There is only one variable, so no "ordered pairs" are involved.
The solutions are {1, 0.375}.