The perimeters of five 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 squares is :
The sides of the five squares are `(24/4), (32/4), (40/4), (76/4), (80/4) i.e. 6 cm, 8 cm, 10 cm, 19 cm, 20 cm.
`:.` Area of the square = `[6^2 + 8^2 + (10)^2 + (19)^2 + (20)^2`]
= ( 36 + 64 + 100 + 361 + 400) `cm^`
= 961 `cm^2`
Side of the new square = `sqrt(961)` = 31 cm.
perimeter of the new square = (4 x 31) cm = 124 cm.
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