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In 14 the perimeter of the figure Is given. find the length of the indicated side

In 14 the perimeter of the figure Is given. find the length of the indicated side-example-1

2 Answers

6 votes

Answer:


Explanation:

X + 3 + 2X +4 + K = 6X

3X+7+K = 6X

-3+3+7+K=6X-3

7+K=3X

-7+7+K=3X-7

K=3X-7


User Rigoberto
by
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3 votes

We are given the perimeter of the given figure = 6x.

We need to find the length of the indicated side in the given figure.

We are given sides :

Side 1: x+3.

Side 2: 2x+4.

Side 3 : ?

Perimeter is the sum of all sides of a given figure.

Let us assume unknown sides is k.

Therefore,

Perimeter = Side 1 + Side 2 + Side 3 .

x+3 + 2x+4 + k = 6x.

Let us solve it for k now.

Combining like terms.

3x +7 +k = 6x

Subtracting 3x from both sides, we get

3x-3x +7 +k = 6x-3x

7 + k = 3x.

Subtracting 7 from both sides, we get

7 -7+ k = 3x-7.

k = 3x -7.

Therefore, the length of the indicated side is 3x -7.

User Roman Dibikhin
by
7.7k points

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