If the length of a rectangle is a two-digit number with identical digits and the width is 1/10 the length and the perimeter is 2 times the area of the rectangle, what is the the length and the width
Solution:
Let the length of rectangle=x
Width of rectangle=x/10
Perimeter is 2(Length+Width)
= 2(x+x/10)
Area of Rectangle= Length* Width=x*x/10
As, Perimeter=2(Area)
So,2(x+x/10)=2(x*x/10)
Multiplying the equation with 10, we get,
2(10x+x)=2x²
Adding Like terms, 10x+x=11x
2(11x)=2x^2
22x=2x²
2x²-22x=0
2x(x-11)=0
By Zero Product property, either x=0
or, x-11=0
or, x=11
So, Width=x/10=11/10=1.1
Checking:
So, Perimeter=2(Length +Width)=2(11+1.1)=2*(12.1)=24.2
Area=Length*Width=11*1.1=12.1
Hence, Perimeter= 2 Area
As,24.2=2*12.1=24.2
So, Perimeter=2 Area
So, Answer:Length of Rectangle=11 units
Width of Rectangle=1.1 units
$96(2 payments) = $192
$192/(12 months) = $16 per month (she should set aside)
Answer:
A <u>rational number</u> is a number that can be expressed as a fraction (the ratio of two integers).
<u>Integer</u>: A whole number that can be positive, negative, or zero.
To calculate if each radical can be expressed as a rational number, convert the decimals into rational numbers, then simplify:
Therefore, 
is not a rational number.
2c+3d=900
C=x
D=350-x
2x+3 (350-x)=900
Solve for x to get number of children
attended the fair that day
2x+1050-3x=900
2x-3x=900-1050
-1 x=-150
x=150 children
350-150=200 adult
12.3126 or 12.3..
How I figured this out:
https://www.mathsisfun.com/data/standard-deviation-formulas.html
