Question

Find perimeter of a square if its diagonal is 10√2cm A) 10 cm B)40√2cm C)20cm D)40cm​

Answer 1

Question :-

Find perimeter of a square if its diagonal is 10√2cm A) 10 cm B)40√2cm C)20cm D)40cm

Answer :-

• D) 40cm

Step by step explanation :-

We have a measure if diagonal of a square and we have to find the perimeter, when we have to find the perimeter of square and using diagonal then the formula as follows :

$\rm:\longmapsto{Perimeter_{ (\square)} = 2 \sqrt{2} d}$

Now, we substitute the value of diagonal and find the perimeter,

$\rm:\longmapsto{Perimeter_{(\square)} = 2 \sqrt{2} (10 \sqrt{2}) } \\ \\ \rm:\longmapsto{Perimeter_{(\square)} =20 \sqrt{4} } \: \: \: \: \: \: \: \: \: \: \: \: \\ \\ \rm:\longmapsto{Perimeter_{(\square)} = 20(2)} \: \: \: \: \: \: \: \: \: \: \: \: \: \\ \\ \bf:\longmapsto \red{Perimeter_{(\square)} = 40cm} \: \: \: \: \: \: \: \:$

▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬

Learn more from brainly :

1. Find the perimeter of a square if its diagonal is 40√2cm.

https://brainly.in/question/20777261

Answer 2

To find :

The perimeter of square when diagonals are :

1] 10√2 cm

2] 10 cm

3] 40√2 cm

4] 20 cm

5] 40 cm

Formula to be used :

• Area of square = side×side
• area of square = diagonal²/2
• side of square = √area
• perimeter = 4×side

Solution :

1] Given diagonal = 10√2 cm

so, area = (10√2)²/2

area = 100×2/2

area = 100 cm²

so, side = √area

side = √100

side = 10 cm

so, perimeter = 10×4

perimeter = 40 cm

hence your answer is d)40 cm