Which expression is equivalent to the area of square a, in square inches? a 1/2(10)(24) b 10(24) c (10+24)² d 10²+24²

Area of square A =  (24)² + (10)²

Step-by-step explanation:

Given  : Three square .

To find : Which expression is equivalent to the area of square A, in square inches.

Solution : We have given Two square with side 24 in . and 10 in .

Two square formed the triangle which hypotenuses is the side of square A.

In the right triangle two sides are  24 in . and 10 in .

By the Pythagorean theorem:

(hypotenuses)² = (one leg)² + (other leg)².

hypotenuses = side of square A .

Area of square A = side * side .

Area of square A = (hypotenuses)².

One leg = 24 in.

Other leg = 10 in.

Plug all the values

(hypotenuse)² = (24)² + (10)².

Area of square A =  (24)² + (10)².

Therefore, Area of square A =  (24)² + (10)²

D 10²+24²

Step-by-step explanation:

Side of square A = √(24^2 + 10^2)

= √(576 + 100)

= √676

= 26

Area of square A :

=  26 x 26 = 676 square inches

or

= 10^2 + 24^2 = 100 + 576 = 676 square inches

Step-by-step explanation:

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