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?*

1️⃣ 80 m²
2️⃣ 81 m²
3️⃣ 89 m²
4️⃣ 88 m²​

Answer 1

Answer:

The area of square = 81 m²

Step-by-step explanation:

Given: Length of a ribbon = 11 m

And its Breadth = 7 m

Formula used:

Perimeter of rectangle = 2(l + b) unit

Perimeter of square = 4a unit

Area of Square = a² square unit

When a same ribbon is used to form the boundary then,

Perimeter of square = Perimeter of rectangle

4a = 2(11 + 7) m

→ 2a = 18 m

→ a = 9 m

Area of Square = (9 m)²

= 81 m²

Some abbreviations are:

l = length of a rectangle

b = breadth of a rectangle

a = side of a square

Answer 2

Answer:

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.