Answer:
Length = 5p + 3
Perimeter = 26p + 6
Step-by-step explanation:
Given
Area = 40p² + 24p
Width = 8p
Solving for the length of deck
Given that the deck is rectangular in shape.
The area will be calculated as thus;
Area = Length * Width
Substitute 40p² + 24p and 8p for Area and Width respectively
The formula becomes
40p² + 24p = Length * 8p
Factorize both sides
p(40p + 24) = Length * 8 * p
Divide both sides by P
40p + 24 = Length * 8
Factorize both sides, again
8(5p + 3) = Length * 8
Multiply both sides by ⅛
⅛ * 8(5p + 3) = Length * 8 * ⅛
5p + 3 = Length
Length = 5p + 3
Solving for the perimeter of the deck
The perimeter of the deck is calculated as thus
Perimeter = 2(Length + Width)
Substitute 5p + 3 and 8p for Length and Width, respectively.
Perimeter = 2(5p + 3 + 8p)
Perimeter = 2(5p + 8p + 3)
Perimeter = 2(13p + 3)
Open bracket
Perimeter = 2 * 13p + 2 * 3
Perimeter = 26p + 6
Answer:
x = 7 is your answer.
Step-by-step explanation:
Here is what you do:
<em>x + 16 = 4x - 5</em>
<em>-3x + 16 = -5</em>
<em>-3x = -21</em>
x = 7 is your answer.
The formula for b from the given area is equal to (2A / h).
As given in the question,
Formula to find area of a triangle is equal to A = (1/2) b h
b represents the base of the triangle
h represents the height of the triangle
A = (1/2) b h
Multiply both the side by 2 in area formula
2A = b h
Divide both the side by h
b = (2A) / h
Therefore, the formula for b from the given area is equal to (2A / h).
The complete question is:
The formula A = (1/2)b h represents the area of a triangle where A represents the area, b is the base of the triangle and h is the height of the triangle. 1. Solve this formula for b.
Learn more about area here
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7 hours is 28 quarter hours. 50 is closer to 45 than 00 so it is. 75 hours. total is 28.75
