Question

A square has a diagonal with a length of 30 cm. What is the perimeter of the square

Answer 1

Answer:

Diagonal of a square = 30 cm

Define x:

Let x be the length of the side of the square

Solve x:

a² + b² = c²

x² + x² = 30²

2x² = 900

x² = 450

x = √450

x= 15√2 cm

Find the perimeter:

Perimeter = 4 x Length

Perimeter = 4 x 15√2

Perimeter = 60√2 cm

Answer: The perimeter is 60√2 cm