Question

PLEASEE HELP ME IM VERY CONFUSED ON THIS!!!

Answer 1

SIDE LENGTH OF TRIANGLE: 2.14 inches
SIDE LENGTH OF HEXAGON: 6 inches

To solve this problem, we know that the shapes have equal sides as it states “equilateral triangle”. A triangle has 3 sides and a hexagon has 6 sides. We are told the perimeters are the same so you can set their perimeters equal to each other to solve for x. You would get this : 3(1.4x + 2) = 6(0.5x +2)
With basic algebra you would get x= 5
Then you substitute that value into the length sides of the triangle and hexagon. For the triangle you would approx get 2.14 inches and for the hexagon 6 inches

Answer 2

Triangle: 9 inches

Hexagon: 4.5 inches

Explanation:

So an equilateral triangle has three sides, so the perimeter can be expressed as 3(1.4x+2).

A hexagon has 6 sides so the perimeter can be expressed as 6(0.5x+2)

Now, we know that the perimeters equal the same, so using algebra we can solve for x through the equation 3(1.4x+2)= 6(0.5x+2).

thus x equals 5.

Then all you have to do is substitute 5 in for each side length.

Triangle: 9 inches

Hexagon: 4.5 inches

We know this is correct because:

9 times 3 = 27

and 4.5 times 6 = 27

Hope this helps!!