Question

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19. The perimeter of a square is 28cm. Find it's area and the length of its diagonal.

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Answer 1

✨Perimeter=28cm

formula for perimeter=4a

(a means side)

4a=28

a=7cm

✨side=7cm.

Area=a^2

7^2=49cm.

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| ✨Area=49cm | ❇️

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▪️Length of diagonal:-

= area of a square = 1/2×(diagonal)^2

= 49×2=(diagonal)^2

= 98=(diagonal)^2

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=| ✨diagonal= ✓98 |❇️

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Answer 2

ANSWER:

Given:

• Perimeter of a square=28cm

To Find:

• Area of square
• Length of diagonal

Solution:

⇒ Perimeter of a square = 4*side

We are given that, perimeter is 28cm. So,

⇒ 4*side = 28cm

Transposing 4 to RHS,

⇒ side = 7cm

Now,

⇒ Area of the square = side²

We have found that side is 7cm. So,

⇒ Area of the square = (7)²

⇒ Area of the square = 49cm²

And,

⇒ Diagonal of a square = side√2

⇒ Diagonal of the square = 7√2cm

Formulae Used:

• Perimeter of a square = 4*side
• Area of the square = side²
• Diagonal of a square = side√2