What is the correct answer?


The perimeters of 5 squares are 24 cm, 32 cm, 40 cm, 76 cm and 80 cm respectively. The perimeter of another square equal in area to the sum of the area of these square is

A. 50 cm

B. 64 cm

C. 124 cm

D. 120 cm

Correct Answer :

C. 124 cm

Clearly first we need to find the areas of the given squares, for that we need its side.
Side of sqaure = Perimeter/4
So sides are,  

                    244 , 324 , 404 , 764 , 804=6, 8, 10, 19, 20           Area of new square will be          = 62+82+102+192+202          = 36+64+100+361+400                        =961cm2             Side of new Sqaure =961                                                    =31cm             Required perimeter = 4×31                                                   =124cm

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