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My name is Ann [436]
2 years ago
14

A squares side are increased by five inches. Find the length of the original square if the perimeter of the new square is 100 in

ches. Length of side of original square: ______
inches
Mathematics
1 answer:
Karo-lina-s [1.5K]2 years ago
7 0

Answer:

The length of side of original square is: 20 inches

Step-by-step explanation:

Let x be the length of side of original square

Then x+5 will be the side of new square

Th formula for perimeter is:

P = 4*side

As we know the perimeter of the new square we can use the perimeter to find the value of x

100 = 4 * (x+5)\\100 = 4x+20\\4x = 100-20\\4x = 80\\\frac{4x}{4} = \frac{80}{4}\\x = 20

The value of x is 20 inches.

Hence,

The length of side of original square is: 20 inches

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goldfiish [28.3K]

Answer:

Step-by-step explanation:

\frac{a-b}{\sqrt{a} -\sqrt{b}} =\sqrt{a} +\sqrt{b}\\or ~a-b=(\sqrt{a} +\sqrt{b})(\sqrt{a}  -\sqrt{b} )=(\sqrt{a} )^2-(\sqrt{b} )^2 =a-b

3 0
3 years ago
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The points (1, 5) and (0, –2) fall on a particular line. What is its equation in slope-intercept form?
Savatey [412]

The equation of the line in slope intercept form is y = 7x - 2

<h3>How to find the equation of a line?</h3>

The equation of the line can be solved with the following equation.

y = mx + b

where

  • m = slope
  • b = y-intercept

Therefore,

m = -2  - 5 / 0 - 1 = -7 / -1

m = 7

Hence, using (1, 5)

y = 7x + b

5 = 7(1) + b

5 - 7 = b

b = -2

Therefore,

y = 7x - 2

Hence, the equation of the line in slope intercept form is y = 7x - 2

learn more on equation of a line here: brainly.com/question/14956513

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7 0
1 year ago
You paint four walls. Each wall is a rectangle with a length of 20 feet and a height of 12 feet. One gallon of paint covers abou
Naddik [55]

Answer:

3 gallons

Step-by-step explanation:

Each wall 12 x 20 = 240 feet squared

4 walls =  4 x 240 = 960 squared feet

960 divided into 320 = 3

1 gallon --------320

1 gallon------------320

1 gallon-----------320

                    3 gallons----------960

 

5 0
2 years ago
For what value n is 1P3 =nP4?
Serggg [28]

Answer:

I don't know if this helps, just a picture not a link

3 0
3 years ago
Find the area of the shaded region.<br> use 3.14 for pi. Round to the hundredths if necessary.
ludmilkaskok [199]

Answer:

<em>122.46 cm² </em>

Step-by-step explanation:

A = \pi r^{2}

~~~~~~~~~

r_{1} = 8 cm

r_{2} = 5 cm

A = 3.14 ( 8² - 5² ) ≈ <em>122.46 cm²</em>

7 0
3 years ago
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