Question

which expression is equivalent to the area of square A in inches ?

Answer 1

D - 10^2+24^2

Explanation:

So, there are a few important things here to go over:

First off, the formula for area of square is l*w, but since a square's length and width are equal, this will just be l^2.

Secondly, the formula for pythagreons theorm is a^2+b^2=c^2. This is what we will use to find the side length of A.

So, we see that there is a triangle that is made up of the top side of the organge square, the left side of the green square, and the right side of the blue square.

To find the righ side of the blue square, we need to use the pythagreons theorm.

This is because the hypotenuse of the triangle(C), is also the right side of square A.

The A and B that we use to find C in pythagreons theorm we know is 24 and 10.

Lets plug this in:

10^2+24^2=c^2

=

100+576=676

Normallu, to find the length of the side, we would root the 676. However, since area is x^2, and we found ^2=676, we are fine.

So tecnically, 10^2+24^2=A.

Or:

`10^2+24^2=A`

This looks like D

Hope this helps!