Can someone help me and do it step by step

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

Tamara has a cell phone plan that charges $0.07

coldgirl [10]

Answer:c

Step-by-step explanation:

5 0

3 years ago

Read 2 more answers

A coordinate map of the local grocery store is shown below. Hot dogs are located at the point (6,4) Mustard is located at the po

deff fn [24]

The distance between the 2 locations = 7 units

Step-by-step explanation:

Step 1:

Given,

Location of Hot dogs = (6,4)

Location of Mustard = (6,-3)

We need to find the distance between the two locations

Step 2:

Since the x coordinates of both the location are the same , they lie in the same line.

The first location is 4 units above the x axis and the second location is 3 units below the x axis.

Hence the distance between the 2 locations 4-(-3) = 7 units

Step 3 :

Answer :

The distance between the 2 locations = 7 units

8 0

3 years ago

How to do the problem

MrMuchimi

Order of operations are:
<span>1. Parentheses (simplify inside 'em)
2. Exponents
3. Multiplication and Division (from left to right)
<span>4. Addition and Subtraction (from left to right)

So, on your first one:
Parentheses first:
8(3+4)-2*8/(5-3)
8(7)-2*8/(2)

There are no exponents so multiplication and division:
56-16/2
56-8

Finally, addition and subtraction:
56-8=48

Your second problem is a bit more complicated but follows the same rules:
</span></span> $( 8^{2}+(13-4) ^{2} )/5$
<span><span>
Parentheses first:
</span></span> $( 8^{2}+ 9^{2})/5)$
<span><span>
Now, exponents. Even though they are inside parentheses, we can't go further until we simply those.
(64+81)/5

Now back to parentheses:
(145)/5

Division:
145/5=29

Hope that helps</span></span>

8 0

3 years ago

A polygon is composed of two or more line segments?

Rama09 [41]

The smallest polygon has three line segments, it is triangle.

7 0

3 years ago

Read 2 more answers