Answer :
Answer:
48 inches
Step-by-step explanation:
Given:
A square and an equilateral triangle have the same perimeter
Each side of the triangle is 4 inches longer than each side of the square.
To find:
What is the perimeter of the square = ?
Solution:
Let side of square be [tex]x[/tex]
Then side of triangle will be [tex]x+4[/tex]
Perimeter of square = Perimeter of equilateral triangle
[tex]4\times\ side[/tex] = [tex]3\times side[/tex]
[tex]4x = 3(x + 4)\\4x = 3x + 12[/tex]
Subtracting both side by [tex]3x[/tex]
[tex]4x - 3x = 3x - 3x + 12\\x = 12[/tex]
side of square, [tex]x[/tex] = 12 inches
side of triangle will be [tex]x+4[/tex], 12 + 4 = 16 inches
Now, perimeter of the square = [tex]4\times\ side[/tex]
= [tex]4\times12 = 48[/tex] inches
Therefore, perimeter of the square is 48 inches.
Answer:
Step-by-step explanation:
48 inches I did it on my paper