the perimeter of two squares are 40m and 96m. Find the perimeter of anothe square equal in area to the sum of the first two squares.
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Answer:
104m
Step-by-step explanation:
perimeter=4*side
side=perimeter/4
side(square 1)=40/4=10 m
side(square 2)=96/4=24 m
area=side^2
area(square 1)=100 m^2
area(square 2)=576 m^2
let side of the new square=x
ATQ, its area =(100+576)=676 m^2
therefore, side=area^(1/2)
x=676^(1/2)=26 m
thus, perimeter= 4x = 4*26 = 104 m
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