ANSWER:
The length of a side of the triangle is 17 inches.
SOLUTION:
Given, the perimeter of an equilateral triangle is 15 inches more than the perimeter of square.
And the side of the triangle is 8 inches longer than the side of the square.
Let the length of the side of a triangle be x.
And the length of the side of a square be y.
perimeter of triangle = a + b + c , where a , b, c represents side
perimeter of square = a + a + a +a , where a represents side
Given, the perimeter of an equilateral triangle is 15 inches more than the perimeter of square. Hence we form a equation as
Then, x + x + x = 15 + y + y + y + y
3x = 15 + 4y ---- (1)
Now, given that, x = 8 + y ---- (2)
Substitute (2) in (1)
3(8 + y) = 15 + 4y
24 + 3y = 15 + 4y
4y – 3y = 24 – 15
y = 9
Now, substitute y value in (2)
x = 8 + 9 = 17
Hence, the length of a side of the triangle is 17 inches.
