Respuesta :
Answer:
The combined perimeter is 24x + 52 units
Explanation:
1- Let's get the perimeter of the first rectangle:
The dimensions of the first rectangle are 4x+5 and 2x+7 units
Perimeter of rectangle = 2(length + width)
Perimeter of first rectangle = 2 (4x+5+2x+7)
Perimeter of first rectangle = 2 (6x + 12)
Perimeter of first rectangle = 12x + 24 units
2- Let's get the perimeter of the second rectangle:
The dimensions of the second rectangle are 3x+14 and 3x units
Perimeter of rectangle = 2(length + width)
Perimeter of second rectangle = 2 (3x+14+3x)
Perimeter of second rectangle = 2 (6x + 14)
Perimeter of second rectangle = 12x + 28 units
3- Finally, let's get the combined perimeter:
Combined perimeter will be the summation of the two perimeters
Combined perimeter = 12x + 24 + 12x + 28
Combined perimeter = 24x + 52 units
Hope this helps :)
Answer:
24x + 52 units
Step-by-step explanation:
We are given the dimensions of two rectangles and we are to find their combined perimeter.
So we will find their perimeters separately and then add them.
Perimeter of rectangle 1 = [tex]2(4x+5+2x+7) = 2(6x+12) = 12x + 24[/tex]
Perimeter of rectangle 1 = [tex]2(3x+14+3x) = 2(6x+14) = 12x + 28[/tex]
Combined perimeter of both rectangles = [tex] 1 2 x + 2 4 + 1 2 x + 2 8 [/tex] = 24x + 52 units