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zavuch27 [327]
3 years ago
5

The perimeter of an equilateral triangle is 15 inches more than the perimeter of a​ square, and the side of the triangle is 8 in

ches longer than the side of the square. Find the side of the triangle.​
Mathematics
1 answer:
Setler [38]3 years ago
5 0

<u>ANSWER:  </u>

The length of a side of the triangle is 17 inches.

<u>SOLUTION: </u>

Given, the perimeter of an equilateral triangle is 15 inches more than the perimeter of square.

And the side of the triangle is 8 inches longer than the side of the square.

Let the length of the side of a triangle be x.

And the length of the side of a square be y.

perimeter of triangle = a + b + c , where a , b, c represents side

perimeter of square = a + a + a +a , where a represents side

Given, the perimeter of an equilateral triangle is 15 inches more than the perimeter of square.  Hence we form a equation as

Then, x + x + x = 15 + y + y + y + y

3x = 15 + 4y ---- (1)

Now, given that, x = 8 + y ---- (2)

Substitute (2) in (1)

3(8 + y) = 15 + 4y

24 + 3y = 15 + 4y

4y – 3y = 24 – 15

y = 9

Now, substitute y value in (2)

x = 8 + 9  = 17

Hence, the length of a side of the triangle is 17 inches.

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The income of a person is Rs 18,000 per month .due to the exemption of the income of Rs 1,40,000 per year, he has paid Rs 11,400
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If the income of a person is Rs 18,000 per month , the exemption of the income is Rs 1,40,000 per year, If he has paid Rs 11,400 as an income tax at the end of the year . The percent per annum of the tax paid is: 15%.

<h3>
</h3><h3>Tax percentage</h3>

Given:

Income of a person=Rs 18,000 per month

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Income tax paid=11,400

First step is to the calculate the Income per year since the  income of a person is Rs 18,000 per month

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Second step is to calculate the taxable income

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Therefore If  he has paid Rs 11,400 as an income tax at the end of the year . The percent per annum of the tax paid is: 15%.

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Learn more about tax percentage here:brainly.com/question/24274714

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