Question

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

Answer 1

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.