Answer:
The equations are;
4(2x + 5) = 3(2x + 8)
x = 2
Perimeter of each shape is 36
Step-by-step explanation:
Mathematically;
The perimeter of a square is 4L
while the perimeter of an equilateral triangle is 3L
where L represents the lengths of the sides
Mathematically, from what we have in the question, since the perimeter are equal;
4(2x + 5) = 3(2x + 8)
8x + 20 = 6x + 24
8x-6x = 24-20
2x = 4
x = 4/2
x = 2
The side of the square will measure;
2(2) + 5 = 9
Its perimeter is 4(9) = 36
The side of the triangle will measure
2(2) + 8 = 12
Its perimeter will be 3(12) = 36
