Question

.
The diagonal of a square is 4√
2 cm. Then find the following:
a. Length of each side
b. Perimeter of the square​

Answer 1

Answer:

Length of the side of square is = 4 cm

Perimeter = 4 x side

                =  4 x 4

                =  16 cm

Step-by-step explanation:

Now,

By image we now know that:

4$\sqrt(2)$ = $\sqrt{2} a$          (where a = side of the square)

Since we know that a = 4 (side), then we can easily find the perimeter by the formula:

Perimeter = 4 x side (or 'a' which also side.)

I hope this helped you!!

Answer 2

Question:

The diagonal of a square is 4√ 2 cm. Then find the following:

a. Length of each side

b. Perimeter of the square​

Given:

Diagonal of square = $4\sqrt{2} cm$

To Find:

• Side

• Perimeter of the square​

Formulas Used:

• $\frac{1}{2}\times d^2$

• $Area= s^2$

• $Perimeter=4s$

Solution:

Area of square when diagonal is given $\frac{1}{2}\times d^2$

$\frac{1}{2}\times d^2\\\\\\\textsf{Where d = }4\sqrt{2} cm\\\\\\\frac{1}{2}\times (4\sqrt{2})^2\\\\\\\frac{1}{2}\times4^2\times \sqrt{2}^2\\\\\\\frac{1}{2}\times 16\times 2\\\\\\=16cm^2$

Finding Side:

Area of square = s²

16 = s²

Side =

$16=s^2\\\\\\s^2=16\\\\\\s=\sqrt{16} \\\\\\s=4cm$

Side = 4cm

Finding Perimeter:

Perimeter = 4s

$P = 4s\\\\\\P=4\times4\\\\\\P=16cm$

Perimeter = 16 cm

Answer:

• Side = 4cm

• Area = 16cm²

• Perimeter = 16cm