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1 year ago

The length of a rectangle is 4 in longer than its width.

Mathematics

1 answer:

bija089 [108]1 year ago

5 0

The area of the rectangle that has a perimeter of 44 in is calculated as: 117 in².

<h3>What is the Area and Perimeter of a Rectangle?</h3>

Area = length × width

Perimeter = 2(length + width).

Given the following:

Width = w in.
Length = w + 4 in
Perimeter of the rectangle = 44 in.

Therefore:

2(w + 4 + w) = 44

Solve for w

2(2w + 4) = 44

4w + 8 = 44

4w = 44 - 8

4w = 36

w = 9

Width of the rectangle = w = 9 in.

Length = w + 4 = 9 + 4 = 13 in.

Area of the rectangle = 13 × 9 = 117 in².

Learn more about the area of rectangle on:

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Enter your answer as a simplified fraction formatted like this: 42/53

expeople1 [14]

Answer:

$\displaystyle -0.\overline{37}=-\frac{37}{99}$

Step-by-step explanation:

<u>Convert a Repeating Decimal to a Fraction </u>

We need to convert the following decimal to a fraction:

$-0.\overline{37}$

Let's call x to the given number:

$x=-0.\overline{37}$

The number has two repeating (periodic) decimals, thus we multiply by 100:

$100x=-37.\overline{37}$

Note the decimals continue to repeat exactly like the original number.

Subtracting both expressións, the repeating decimals are simplified:

$100x - x = -37$

Operating:

99x=-37

Dividing by 99:

$\displaystyle x=-\frac{37}{99}$

The fraction cannot be simplified, thus:

$\mathbf{\displaystyle -0.\overline{37}=-\frac{37}{99}}$

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3 years ago

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Tema [17]

Answer:

it is a simultaneous equation.

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14.8 = n minus 0.3<br> n = negative 15.1<br> n = negative 14.5<br> n = 14.5<br> n = 15.1

dlinn [17]

Hello!

14.8 = n - 0.3

n - 0.3 = 14.8

n = 14.8 + 0.3

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Good luck! :)

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Step-by-step explanation:

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