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28 votes
28 votes
The diagonal of a rectangle is 25 inches. The width is 15 inches. What is the area of the rectangle?

User Bullets
by
2.7k points

1 Answer

23 votes
23 votes

Answer:

300 in²

Explanation:

Hello!

Because the diagonal forms right triangles, we can use the Pythagorean Theorem to find the missing length of the rectangle.

a² + b² = c²

  • a = leg
  • b = leg
  • c = hypotenuse

In this case, 25 is c, and 15 is a. We can solve for b using the formula.

Solve for b

  • a² + b² = c²
  • 15² + b² = 25²
  • 225 + b² = 625
  • b² = 400
  • b = 20

So the missing length of the rectangle is 20. We can find the area by multiplying 15 and 20

  • 15 * 20 = A
  • 300 = A

The area is 300 in².

User Dave Lancea
by
2.8k points
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