Question

An equilateral triangle has a side length of 1.4x + 2 inches. A regular hexagon has a side length of 0.5x + 2 inches. The perimeters are equal. What is the side length of the triangle? What is the side length of the hexagon?

a) Side length of the triangle: 0.7x + 1 inches; Side length of the hexagon: 0.5x + 2 inches
b) Side length of the triangle: 0.7x + 2 inches; Side length of the hexagon: 0.5x + 1 inches
c) Side length of the triangle: 0.9x + 2 inches; Side length of the hexagon: 0.4x + 1 inches
d) Side length of the triangle: 0.9x + 1 inches; Side length of the hexagon: 0.4x + 2 inches

Answer 1

The side length of the equilateral triangle is 1.4x + 2 inches and the side length of the hexagon is 0.5x + 2 inches.

Step-by-step explanation:

To find the side length of the equilateral triangle, we can use the fact that all three sides of an equilateral triangle are equal. So, if the side length of the triangle is 1.4x + 2 inches, then each side of the triangle is also 1.4x + 2 inches.

Therefore, the side length of the triangle is 1.4x + 2 inches.

To find the side length of the hexagon, we can again use the fact that all sides of a regular hexagon are equal. If the side length of the hexagon is 0.5x + 2 inches, then each side of the hexagon is also 0.5x + 2 inches.

Therefore, the side length of the hexagon is 0.5x + 2 inches.