Given the following formula, solve for I. P = 2(1 + 6) PLEASE HELP!!!
1 answer:
Step-by-step explanation
Here ...I'm not too sure about the question as you have written
P = 2 ( 1 + 6 ) and ask to solve for L ...
.So I guess the question you have written is wrong .. ...and I guess there should be L in the place of 1.
...So let me correct the question....
P = 2 ( l + 6 )
P = 2l + 12
P - 2l = 12
- 2l = 12 - P
- 2l = - P + 12
Change the sign of both side of the equation...
2l = P + 12
divide both side by the same number...
L = ( P + 12 ) ÷ 2
Calculate the product of rational numbers...
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<h2> <u>Rectangular</u> <u>Areas</u> <u>and</u> <u>Perimeters</u></h2>
The perimeter of a rectangle is given by:
In the problem we have these data:
- Length = a
- Width = -2x + 20
- Perimeter = 6 + 2 (-2x + 20)
We replace the data in the equation of the perimeter:
<h3>6 + 2 (-2x + 20) = 2 (a - 2x + 20) </h3>
We apply distributive property:
6 - 4x + 40 = 2a - 4x + 40
6 = 2a
6 ÷ 2 = a
3 = a
⇒ Length = 3
The area of the rectangle is given by:
We have these data:
- Length = 3
- Width = -2x + 20
We replace the data in the equation of the area:
<h3>Area = (3) (- 2x + 20) </h3>
We apply the distributive property and obtain:
Area = -6x + 60
<u>The expression representing the area of the rectangle will be -6x + 60</u>
<h3>I hope I've helped!</h3>