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altavistard

First find the length of 1 side of A, using the Pyth. Thm. and the dimensions of the other two squares: (side of A)^2 = (10 in)^2 + (24 in)^2. Then:

(side of A)^2 = 100+ 576 in^2 = 676 in^2.


Here I have not bothered to solve for the length of the side of A, since we want the area of square A. But if you do want the side length, find it: sqrt(676) = 26 in. Then the area of A is (26 in)^2 = 676 in^2.


Then the area of square A is (26 in)^2 =

The expression which is equivalent to the area of square A  is [tex]x^2\ =\ 10^2\ +\ 24^2[/tex] in square inches.

What is area ?

Area is the product of length and breadth of any two dimensional surface.

Area [tex]=Length\ *\ Breadth[/tex]

We have,

Three squares,

First square with side [tex]=10[/tex] inch

Second square with side [tex]=24[/tex] inch

Square A with side [tex]=x[/tex]

So,

As we can see in the given figure,

These three squares are making a right angle triangle,

And the side of Square A is in hypotenuse,

So

Using Pythagoras Theorem;

[tex]x^2\ =\ 10^2\ +\ 24^2[/tex]

[tex]x^2\ =\ 100\ +\ 576[/tex]

[tex]x^2\ =\ 676[/tex]

[tex]x\ =\ 26[/tex] inch

So,

The Area of Square A [tex]= Side\ *\ Side[/tex]

                                   [tex]=\ 26\ *\ 26[/tex]

The Area of Square A [tex]=\ 676[/tex]

Now,

We are asked the equation of area so it would be the first step of Executing Pythagoras Theorem i.e. [tex]x^2\ =\ 10^2\ +\ 24^2[/tex]

Hence, we can say that the expression which is equivalent to the area of square A  is [tex]x^2\ =\ 10^2\ +\ 24^2[/tex] in square inches.

To know more about area click here

https://brainly.com/question/1658516

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