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r-ruslan [8.4K]
2 years ago
11

PLEASEEEE HELPPPPPP!!!

Mathematics
1 answer:
artcher [175]2 years ago
3 0

Answer:

18

Step-by-step explanation:

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The formula for finding the perimeter of a rectangle is P = 2L + 2W. If a rectangle has a perimeter of 68 inches and the length
Artemon [7]

Answer:

Width = 10 inches

Step-by-step explanation:

Given the perimeter of a rectangle of 68 inches, and a length that is 14 inches longer than its width.

We can establish the following values to help us solve for the width of a rectangle:

Perimeter (P) = 68 inches

Length (L) = 14 + W inches

Width (W) = unknown

<h3 /><h3><u>Solve for the Width (W)</u></h3>

P =  2(L + W)  ⇒ This is the same as P = 2L + 2W, except that 2 is factored out from the right-hand side.

Divide both sides by 2:

\displaystyle\mathsf{\frac{P}{2}\:=\:\frac{2(L\:+\:W)}{2}}

\displaystyle\mathsf{\frac{P}{2}\:=L\:+\:W}

Substitute the value of the Perimeter and the length (L) into the formula:

\displaystyle\mathsf{\frac{68}{2}\:=14\:+W\:+\:W}

Combine like terms on the right-hand side, and simplify the left-hand side of the equation:

\displaystyle\mathsf{34\:=14\:+2W}

Subtract 14 from both sides:

34 - 14 = 14 - 14 + 2W

20 = 2W

Divide both sides by 2 to solve for the width (W):

\displaystyle\mathsf{\frac{20}{2}\:=\:\frac{2W}{2}}

W = 10 inches

Therefore, the width of the rectangle is 10 inches.

<h3 /><h3><u>Double-check:</u></h3>

Verify whether the derived value for the width is correct:

P = 2L + 2W

68 = 2(14 + 10) + 2(10)

68 = 2(34) + 20

68 = 48 + 20

68 = 68 (True statement).  

Thus, the length of the rectangle is 34 inches, and the width is 10 inches.

4 0
2 years ago
5x+3=9x+4, what numbers are the constants
8090 [49]

Answer:

3 and 4

Step-by-step explanation:

5 0
3 years ago
Which additional word or words in the sentence should be capitalized?
Montano1993 [528]
A, C, and D. Hope this helps!
3 0
3 years ago
Read 2 more answers
What does transformation mean in math
notsponge [240]
In mathematics, a transformation is a function f (usually with some geometrical underpinning) that maps a set X to itself, i.e. f : X → X. In other areas of mathematics, a transformation may simply refer to any function, regardless of domain and codomain.
4 0
2 years ago
Read 2 more answers
The difference between two numbers is 31. Four times the smaller is equal to eight more than the larger. What are the numbers?
hjlf

Answer:

13 and 44

Step-by-step explanation:

let x and y be the 2 numbers with y < x , then

x - y = 31 ( add y to both sides )

x = y + 31 ( subtract 31 from both sides )

x - 31 = y → (1)

4y = x + 8 → (2)

substitute y = x - 31 into (2)

4(x - 31) = x + 8

4x - 124 = x + 8 ( subtract x from both sides )

3x - 124 = 8 ( add 124 to both sides )

3x = 132 ( divide both sides by 3 )

x = 44

substitute x = 44 into (1)

44 - 31  = y , then

y = 13

the 2 numbers are 13 and 44

3 0
2 years ago
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