2 Answers

Sergey Sklyar · Answer 1 · 2020-03-10T09:34:46+0000

Answer:

$x=6.5\ units$

Explanation:

step 1

Find the length side of the smaller square

The area of the square is equal to

A=a^(2)

so

a^(2)=13

$a=√(13)\ units$

step 2

Find the length side of the larger square

The area of the square is equal to

A=b^(2)

so

b^(2)=29.25

$b=√(29.25)\ units$

step 3

Find the value of x

Applying the Pythagoras Theorem

x^(2) =a^(2)+b^(2)

substitute the values

x^(2) =13+29.25

x^(2) =42.25

$x=6.5\ units$

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