SOLUTION: Could you please help me out? 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. What is the

Question 139108: Could you please help me out?
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. What is the perimeter of the figures? What is the area of the square?
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
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. What is the perimeter of the figures?
:
Let x = side of the square
then
(x+4) = side of the triangle
;
Perimeter of the square = 4x
Perimeter of the triangle = 3(x+4)
:
It says they are equal
4x = 3(x+4)
4x = 3x + 12
4x - 3x = 12
x = 12 is the side of the square (4*12=48)
and
12 + 4 = 16 is the side of the triangle (3*16=48)
;
What is the area of the square?
12^2 = 144 inches
RELATED QUESTIONS
An equilateral triangle and a square have the same perimeter. Each side of the square... (answered by ikleyn)

A square and an equilateral triangle have the same perimeter. Each side of the triangle... (answered by richwmiller)

Suppose that a square and an equilateral triangle have the same perimeter. Each side of... (answered by ankor@dixie-net.com)

Please help. A square and an equilateral triangle have the same perimeter. If the length... (answered by rfer)

Please, how do you solve this question? A square had a side lenght of 5k and an... (answered by jorel1380)

A square and an equilateral triangle have the same perimeter. The area of the square is... (answered by killer6678)

THE PERIMETER OF A CERTAIN SQUARE IS THE SAME AS THE PERIMETER OF A CERTAIN EQUILATERAL... (answered by solver91311)

A square and an equilateral have the same perimeter. Each side of the triangle is 8 cm... (answered by solver91311)

To Whomever can assist, Thank you! Suppose that a square and an equilateral triangle... (answered by ankor@dixie-net.com)