Two gardens are being fenced in. Both gardens will require the same amount of fencing (both gardens have the same perimeter in meters). One garden is in the shape of a square and the other is in the shape of an equilateral triangle. Each side of the triangle is 1 meters longer than each side of the square.

The side length of the square is 3 meters.

The side length of the triangle is 4 meters.

Step-by-step explanation:

This is basically a systems of equations word problem.

To solve this, we have to create two different equations. Let's assume is the side length of the square and is the side length of the triangle.

We can make the equation , since the perimeters are the same. (A square has 4 sides, a triangle has 3 - multiplying by the side length of each will get perimeter)

We also know that the side length of the triangle is 1 meter longer than the side length of the square, so the equation here becomes .

Now, let's substitute the second equation () into the first ().

Apply the distributive property:

Subtract 3s from both sides:

So the side length of the square is 3. We can now plug it into the equation to find the side length of the triangle.

Hope this helped!

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