Question

The dimensions of a rectangle are 28 centimeters long by 21 centimeters wide. Find the length of the rectangle's diagonal.

Answer 1

18.52 cm

Step-by-step explanation:

a² + b² = c²

a² + 21² = 28²

a² + 441 = 784

-441 -441

--------------------

a² = 343

√a = √343

a = 18.52

Answer 2

To find the length of the rectangle's diagonal, you can use the Pythagorean theorem. In this case, the length and width of the rectangle form the two sides of a right triangle, and the diagonal is the hypotenuse. Plugging in the values, the length of the diagonal of the rectangle is 35 centimeters.

Step-by-step explanation:

To find the length of the rectangle's diagonal, we can use the Pythagorean theorem. The Pythagorean theorem states that in a right triangle, the square of the length of the hypotenuse (the longest side) is equal to the sum of the squares of the lengths of the other two sides. In this case, the length and width of the rectangle form the two sides of a right triangle, and the diagonal is the hypotenuse.

So, let's calculate:

Length of the diagonal = √(Length^2 + Width^2)

Plugging in the given values:

Length of the diagonal = √(28^2 + 21^2)

Length of the diagonal = √(784 + 441)

Length of the diagonal = √1225

Length of the diagonal = 35 centimeters