the side of an equilateral triangle measures 5 cm more than the side of a square. if both their perimeters are the same, what are their sides?
solution pls
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Why do you keep switching names ?
I like it, just my "trip"
Well, we don't like it
I just makes things confusing in answering questions.
To solve this problem, let's break it down step by step.
1. Let's assume the side of the square is "x" cm. Therefore, the side of the equilateral triangle is "x + 5" cm.
2. The perimeter of a square is given by the formula P = 4s, where P is the perimeter and s is the side length. So, for the square, the perimeter is equal to 4x cm.
3. The perimeter of an equilateral triangle is given by the formula P = 3s, where P is the perimeter and s is the side length. So, for the equilateral triangle, the perimeter is equal to 3(x + 5) cm.
4. Since both their perimeters are the same, we can set up the equation: 4x = 3(x + 5).
5. Let's solve the equation: 4x = 3x + 15.
Subtract 3x from both sides: 4x - 3x = 15.
Simplify: x = 15.
6. Now that we have found the value of x, we can substitute it back into the equations:
For the side of the square: x = 15 cm.
For the side of the equilateral triangle: x + 5 = 15 + 5 = 20 cm.
So, the side of the square is 15 cm and the side of the equilateral triangle is 20 cm.