Ok so I like to go in steps with these questions- first draw a picture and identify your variables.
W=width
L= 3w-1
Now we know that length times width gets us area so we plug in our variables into the area equation.
200 = w(3w-1)
When you foil that equation you end up with a quadratic : 3w^2-w-200 = 0
Either factor that or use the quadratic formula to get
w= 8.33 and w= -8
Since you can't have a negative dimension you need to use 8.33 and plug it back into your length equation.
Final answer:
w= 8.33ft
l= 23.99ft
*Now I simplified the decimals a little bit so you end up with 199.8ft^2 for the area so just add a few decimals on here and there*
5/4=15/12
2/3=8/12
15/12+8/12=23/12
Answer:
<em>The volume of the cube is </em>
<em>cu in.</em>
Step-by-step explanation:
<u>The Volume of a Cube</u>
Let's have a cube of side length a. The volume of the cube is:

The cube of the image has a side length of

Simplifying the expression of the base by converting the negative exponent in the numerator to the denominator:

Now find the volume:

Applying the exponents:


The volume of the cube is
cu in.
12 meters because 100 centimeters is equal to one meter.
<span>By the Pythagorean theorem
AB = </span>√(12²+5²) = √169 = 13 units