The perimeters of the square and the triangle shown below are equal. What is the value of x?

Mathematics

1 answer:

Rudiy273 years ago

8 0

Perimeter is the sum of all the sides. So we can set up an equation:

$\sf 3x+1+3x+1+3x+1+3x+1=2x+8+x+8+4x+2$

Now solve for 'x', combine like terms:

When it comes to terms with variables it's just like normal addition but we keep the variable:

$\sf 3x+3x+3x+3x=12x$
$\sf 2x+x+4x=7x$

So we have:

$\sf 12x+1+1+1+1=7x+8+8+2$

Add:

$\sf 12x+4=7x+18$

Subtract 7x to both sides:

$\sf 5x+4=18$

Subtract 4 to both sides:

$\sf 5x=14$

Divide 5 to both sides:

$\boxed{\sf x=2.8}$

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The daltons completed 30% of their 2140-mile trip the first day

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3 years ago

Read 2 more answers

The difference between two numbers is 15. If 8 is added to twice the greater number, the result is 4 less than 3 times the lesse

yuradex [85]

Answer:

Step-by-step explanation:

Let $x$ be the greater number and $y$ be the smaller number. We know that their difference is 15, so we have

$x-y=15$

Then, we have the following information: if we add twice the greater (2x) and 8 (2x+8), the result is 3 times the lesser (3y) minus four (3y-4). So, we have

$2x+8 = 3y-4 \iff 2x-3y = -12$