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

option a is correct.

step-by-step explanation:

scale factor: it is used to find proportional measurements.

proportions means having the same ratio.

scale factor is the ratio of the model measurement to the actual measurement in a simplest form.

or we can say that the ratio of any two corresponding lengths in two similar geometric figures

if the scale factor is more than 1, then it is an enlargement,

if the scale factor less than 1, then it is a reduction.

given the two geometric figure:

by definition of proportions, we have

i believe the answer is c.