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.

positive

step-by-step explanation:

the quadrant is facing upwards