SOLUTION: (57) The diagonal of a square has length 7. Find the perimeter of a square with twice the area.

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Question 1209527: (57) The diagonal of a square has length 7. Find the perimeter of a square with twice the area.
Found 2 solutions by josgarithmetic, ikleyn:
Answer by josgarithmetic(39615)   (Show Source): You can put this solution on YOUR website!
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The diagonal of a square has length 7.
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x by x dimensions.
, simple 45-45-90 right triangle


the area is



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Find the perimeter of a square with twice the area.
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TWICE the area of the first square is .
The square having area of 49 square units is of some side length m
,

Perimeter of this square is then .

Answer by ikleyn(52767)   (Show Source): You can put this solution on YOUR website!
.

If the diagonal of the square is 7 units long,  it means that the side length is   units long.

Then the area of this square is   =   square units.


Then the doubled area is  49  square units.


Then the side of the greater square is   = 7 units.


Then the perimeter of the greater square is 4*7 = 28 units.    ANSWER

Solved.




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