The perimeters of two squares are 48 cm and 32 cm. Find the perimeter of a third square whose area is equal to the difference of the areas of the two squares .
Choose the correct choice from the following answers: A) 22 cm B) 24 cm C) 26 cm D) 28 cm E) 35.6 cm
35.6 cmxplanation:   We know perimeter of square = 4(side)   So Side of first square = 48/4= 
<gadget id="calculator">48/4</gadget>
<output>12</output>
12 cm   Side of second square= 32/4= 
<gadget id="calculator">32/4</gadget>
<output>8</output>
8 cm   Area of third Square= 12*12 - 8*8= 
<gadget id="calculator">12*12 - 8*8</gadget>
<output>80</output>
80 cm   So side of third square= 8.9 [because area of square = side*side]   Perimeter = 4*Side = 4*8.9= 
<gadget id="calculator">4*8.9</gadget>
<output>35.6</output>
35.6 cm   Answer: Option 35.6 cm
<result>E</result>
The perimeters of two squares are 48 cm and 32 cm. Find the perimeter of a third square whose area is equal to the difference of the areas of the two squares .