Question

7 each side of a checkerboard measures 40 cm. what is the length of its diagonal?

Explanation:

Step1: Identify the shape

A checkerboard is a square with side length $a = 40$ cm.

Step2: Apply Pythagorean theorem

For a square, diagonal $d = a\sqrt{2}$.

Step3: Calculate the diagonal

$d = 40\sqrt{2}$ cm. Approximate value: $40 \times 1.4142 \approx 56.57$ cm.

Answer:

$40\sqrt{2}$ cm (approximately 56.57 cm)