Question

a square shaped wooden plate has a diagonal length of 30cm. can you find the perimeter of plate ?

Answer 1

$for \: \: squares \\ side \: \: length = \frac{diagonal \: \: length}{ \sqrt{2} } \\ = \frac{30}{ \sqrt{2} } = 15 \sqrt{2} \: cm \\ perimeter = 4 \times side \: \: length \\ = 4 \times 15 \sqrt{2} = 60 \sqrt{2} \: cm$

Answer 2

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