Answer:
24.2
Step-by-step explanation:
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The perimeter of the equilateral triangle is 3s and s=4x so the perimeter is:
12x
And we are told that the perimeter of the square is the same. And that perimeter is 4s where s=(x+6) so that perimeter is equal to
4x+24, and again, we are told that these two values are equal so we can solve for x...
12x=4x+24
8x=24
x=3 and if x=3 then the side length is (x+6)=9
So the area of the square is always A=s^2 and s=9 thus:
A=9^2
A=81 u^2
For this you need the pythagorean theorem.
5 squared is: 25
25+25= 50
then u need the square root of 50 which is approximately= 7.07107 cm
The length of the diagonal AB is 7.07107 cm
