Question

A square and equilateral triangle have equal perimeter

Answer 1

First of all, they say that each side of the square is 6 cm. The perimeter of a square is 4 times the length of a side, because there are 4 sides and they are all the same length. So that means that the perimeter is 4 x 6 = 24 cm.

Now what about the triangle. They say that the square and the triangle have the same perimeter, so the triangle's perimeter is also 24 cm. An equilateral triangle has 3 sides that are all the same, so the perimeter of an equilateral triangle is 3 times the length of a side.

So what length must the sides of the triangle be for 3 times the length to equal 24? You can set this up as an equationL 3s = 24. Or you can tell just by looking at the numbers that the sides must be 8 cm.