Question

A ribbon is used to form the boundary of a rectangle with length and breadth as 11 m and 7 m respectively. If the same ribbon is used to form the boundary of a square, then what will be the area of this square?*

80 m²
81 m²
89 m²
88 m²
​

Answer 1

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Given :-

A ribbon is used to form the boundary of a rectangle with length and breadth as 11 m and 7 m respectively. If the same ribbon is used to form the boundary of a square.

To Find :-

What is the area of a square.

Formula Used :-

★ Perimeter of a square = 4 × side ★

✪ Perimeter of rectangle = 2(Length + Breadth) ✪

✯ Area of a square = side × side ✯

Solution :-

Given :

Length = 11 m

Breadth = 7 m

First we have to find the side,

According to the question,

⇒ 4 × side = 2(Length + Breadth)

⇒ 4 × side = 2(11 + 7)

⇒ 4 × side = 2(18)

⇒ 4 × side = 2 × 18

⇒ 4 × side = 36

⇒ side = 36/4

➠ side = 9 m

Hence, we get the side is 9 m .

Now, we have to find the area of a square,

Given :

Side = 9 m

According to the question by using the formula we get,

↦ Area of square = side × side

↦ Area of square = 9 m × 9 m

➦ Area of square = 81 m²

∴ The area of a square is 81 m² .

Hence, the correct options is option no 2) 81 m².

ʜᴏᴘᴇ ʏᴏᴜ ғɪɴᴅ ɪᴛ ʜᴇʟᴘғᴜʟ

ᴛʜᴀɴᴋ ʏᴏᴜ

Answer 2

Given :-

A ribbon is used to form the boundary of a rectangle with length and breadth as 11 m and 7 m respectively. If the same ribbon is used to form the boundary of a square.

To Find :-

What is the area of a square.

Formula Used :-

★ Perimeter of a square = 4 × side ★

✪ Perimeter of rectangle = 2(Length + Breadth) ✪

✯ Area of a square = side × side ✯

Solution :-

Given :

Length = 11 m

Breadth = 7 m

First we have to find the side,

According to the question,

⇒ 4 × side = 2(Length + Breadth)

⇒ 4 × side = 2(11 + 7)

⇒ 4 × side = 2(18)

⇒ 4 × side = 2 × 18

⇒ 4 × side = 36

⇒ side = 36/4

➠ side = 9 m

Hence, we get the side is 9 m .

Now, we have to find the area of a square,

Given :

Side = 9 m

According to the question by using the formula we get,

↦ Area of square = side × side

↦ Area of square = 9 m × 9 m

➦ Area of square = 81 m²

∴ The area of a square is 81 m² .

Hence, the correct options is option no 2) 81 m².

ʜᴏᴘᴇ ʏᴏᴜ ғɪɴᴅ ɪᴛ ʜᴇʟᴘғᴜʟ

ᴛʜᴀɴᴋ ʏᴏᴜ