The difference between the perimeters of the two rectangles will be 4x + 3
The formula for the perimeter of rectangle is given as :
P = 2(L + B)
Where P = perimeter of the rectangle
L = length of the rectangle
B = breadth of the rectangle
Now we have given two rectangle on is smaller than the other.
To find the difference between the perimeter of the two rectangles. We will first calculate the perimeter of both the rectangle.
Perimeter of the bigger rectangle = 2( 5x + 3 + 2x)
= 2(7x + 3)
= 14x + 3
Perimeter of the smaller rectangle = 2(2x + 3x)
= 2*5x
=10x
Difference between the two perimeters = (Perimeter of the bigger rectangle) – (Perimeter of the smaller rectangle)
= (14x + 3) – 10x
= 4x + 3
Thus the difference between the perimeters of the two rectangle will be 4x + 3
Learn more perimeters of the rectangle here : https://brainly.com/question/17297081
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