Answer:
Step-by-step explanation:
<u>Assume a solution</u>
Assume that 60 is the length. The width is then 1/4 less, or 60 -60/4 = 45.
The diagonal of this rectangle is found using the Pythagorean theorem:
d = √(60² +45²) = √5625 = 75
<u>Make the adjustment</u>
This is a factor of 75/40 larger than the actual diagonal, so the actual dimensions must be 40/75 = 8/15 times those we assumed.
length = (8/15)×60 = 32
width = (8/15)×45 = 24
The length and width of the rectangle are 32 and 24, respectively.
_____
<em>Comment on this solution method</em>
This method is suitable for problems where variables are linearly related. If we were concerned with the area, for example, instead of the diagonal, we would have to adjust the linear dimensions by the <em>square root</em> of the ratio of desired area to "false" area.
Lets first look at the formula, then substitute for the formula, then solve. lets do it:-
A = lw
A = Area
l = lentgh
w = width
A = lw
l = 6.62 meters
w = 4.55 meters
A = lw
A = 6.62 × 4.55
A = 30.121 meters
So, the area of this section is 30.121 Meters.
Hope I helped ya!! xD
Answer:
80b-16
Step-by-step explanation:
16(5b-1)
Answer:
Which numbers?
Step-by-step explanation:
Answer:

General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
<u>Algebra I</u>
- Coordinates (x, y)
- Slope Formula:

Step-by-step explanation:
<u>Step 1: Define</u>
Point (9, 5)
Point (21, 1)
<u>Step 2: Solve for slope </u><em><u>m</u></em>
- Substitute in points [Slope Formula]:

- [Fraction] Subtract:

- [Fraction] Simplify:
