Question

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

1. 1/2(10)(24)
2. 10(24)
3. (10+24)^2
4. 10^2 + 24^2

Answer 1

4.) 10^2 + 24^2

Explanation:

From the attached diagram, the area of a square A is given by the measure of the square of its hypotenus :

The hypotenus is given by :

Hypotenus² = opposite² + Adjacent²

Hypotenus² = 10² + 24²

The square of hypotenus = 10^2 + 24^2