Question

Please help! Please explain as well!

Answer 1

x = 10

Square perimeter = 84cm

Triangle perimeter = 84cm

Explanation:

Hello!

First, we make an equation to find the perimeter of each shape

For a square we multiple one side by 4

(2x + 1) * 4

Simplify

8x + 4

An equilateral triangle means each side is equal so we can multiply one side by 3

(3x - 2) * 3

Simplify

9x - 6

The problem states they are equal to each other so we can show that

8x + 4 = 9x - 6

Now we can solve for x

Subtract 8x from both sides

4 = x - 6

Add 6 to both sides

10 = x

Now we can put x into our original equations for the perimeters

Square

8(10) + 4

80 + 4

84cm

Triangle

9(10) - 6

90 - 6

84cm

Hope this Helps!

Answer 2

x=10 84 cm

Explanation:

We know that a square has 4 sides, and each side length is (2x+1). So we need to distribute the 4.

4(2x+1)

8×+4 is the perimeter for the square.

A triangle has 3 sides, and each side length is (3x-2). So we need to distrbute the 3.

3(3x-2)

9x-6 is the perimeter of the triangle.

We know that these perimeters are equal to each other. Then we just solve for x.

8x+4=9x-6

10=x

Plug 10 into the square equation.

8(10)+4

84 cm