Q:

What is the combined perimeter of these two rectangles 4x+5 and 2x+7 and 3x+14 and 3x

Accepted Solution

A:
Answer:The combined perimeter is 24x + 52 unitsExplanation:1- Let's get the perimeter of the first rectangle:The dimensions of the first rectangle are 4x+5 and 2x+7 unitsPerimeter 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 units2- Let's get the perimeter of the second rectangle:The dimensions of the second rectangle are 3x+14 and 3x unitsPerimeter 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 units3- Finally, let's get the combined perimeter:Combined perimeter will be the summation of the two perimetersCombined perimeter = 12x + 24 + 12x + 28Combined perimeter = 24x + 52 unitsHope this helps :)