Question

An equilateral triangle has perimeter of 24 inches. What should be the perimeter of a square whose sides each measure the same length as the side of the triangle?(NEED ANSWER ASAP WITH EXPLANATION)

Answer 1

Answer: ( The perimeter of the square should be 32 inches ). The perimeter of an equilateral triangle is equal to three times the length of one side. In this case, the triangle has a perimeter of 24 inches, so each side of the triangle measures 8 inches (24 divided by 3).

Explanation: To find the perimeter of a square with sides of the same length as the equilateral triangle, we use the formula for the perimeter of a square, which is four times the length of one side. Since each side of the triangle measures 8 inches, the perimeter of the square would be 4 times 8 inches, which equals 32 inches.

I hope this explanation helps!

Answer 2

32 inches

Explanation:

The perimeter of an equilateral triangle is the sum of the lengths of its three sides.

Since all sides of an equilateral triangle are equal, the perimeter can be calculated as follows:

Perimeter = 3 × side

We know that the perimeter of the triangle is 24 inches, so we can set up the following equation:

24 = 3 × side

Dividing both sides of the equation by 3, we get the length of one side of the triangle:

`\sf (3\, side )/(3)=(24)/(3)`

side = 8 inches

The perimeter of a square is the sum of the lengths of its four sides.

Since all sides of a square are equal, the perimeter can be calculated as follows:

Perimeter = 4 × side

We know that the sides of the square will be the same length as the sides of the triangle, so the perimeter of the square will be:

Perimeter = 4 × 8 inches

= 32 inches

Therefore, the perimeter of the square should be 32 inches.