Question

Perimeter of a square is 40 m . then find the value of diagonal and area of this square .
Solution

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Answer 1

Step-by-step explanation:

Given That :-

Perimeter of a square is 40 m

Find :-

value of diagonal and area of this square .

Explanation

Let,

Side of square = x m

Using Formula,

★ Perimeter of square = 4 × side

★ Diagonal of square = Side√2

★ Area of square = (Side)²

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First, calculate side of square,

➡ Perimeter of square = 4 × side

keep value of perimeter

➡ 40 = 4 × side

➡ side = 40/4

➡ side = 20 m

Now, calculate diagonal of square

➡ Diagonal of square = Side√2

keep value of side,

➡ Diagonal of square = 20√2

[ √2 = 1.414 ]

➡ Diagonal of square = 20 × 1.414

➡ Diagonal of square = 28.28 m

Now, calculate Area of square,

➡Area of square = (Side)²

keep value of side,

➡Area of square = (20)²

➡Area of square = 20 × 20

➡Area of square = 400 m²

Hence

Diagonal of square = 28.28 m

Area of square = 400 m²

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