Answer:
Step-by-step explanation:
The perimeter of a rectangle is 2x+2y.
The perimeter of a triangle is a+b+c.
Set these equal to each other and you have this equation:
2(8) +2(x+2) = 8+2x+ (2x+4)
16+2x+4 = 8+2x+2x+4
2x+20=4x+12
8=2x
x=4
Now that you know x=4, you can plug it back into your perimeter equations.
For the rectangle: 16 +2(2+4)
= 16+2(6) = 16+12= 28
The perimeter of the rectangle is 28 inches.
For the triangle: 8+ 2(4) + (2(4) + 4)
= 8+ 8+ (8+4)
= 16 +12 = 28
The perimeter of the triangle is 28 inches.
Since the perimeters are equal, x=4.
