The perimeter of an equilateral triangle is 18 inches more than the perimeter of a square, and the side of the triangle is 8 inches longer than the side of the square.
find the side of the triangle.

The side of the triangle is 14 inches.

Step-by-step explanation:

Let the side of triangle be 'x' and square be 'y'.

Given:

Perimeter of triangle is 18 inches more than the perimeter of square.

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

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

Perimeter of an equilateral triangle is given as:

Perimeter = 3 × Side length =

Perimeter of a square is given as:

Perimeter = 4 × Side length =

Now, as per question:

Perimeter of triangle = Perimeter of square + 18

-------------- (1)

Side of triangle = Side of square + 8

------------------- (2)

Rewriting equation (2) in terms of 'y', we get:

Now, plug in the 'y' value in equation (1) and solve for 'x'. This gives,

Therefore, the side of the triangle is 14 inches.

when rotating a figure 180 degrees, imagine that you are able to take the figure and turn it clockwise or counterclockwise around a center point. to rotate a figure 180 degrees, you will need to apply the rule (x, y) → (-x, -y). start by using a coordinate grid with coordinates for each vertex of the figure. the center point of the coordinate grid is located at (0, 0), which is what you will rotate the figure around. write down the original coordinates of the shape you are going to rotate. then, apply the rule. for example, coordinate (1, 2) becomes (-1, -2). another example would be, coordinate (-4, -2) becoming (4, 2). after you change each original coordinate to the rotated coordinate, you will draw your new figure.

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