Question

A rectangle has perimeter 24cm and length 9cm . find its breadth and area.​

Answer 1

Answer:

Answer:

Breadth of the rectangle is 3 cm and the area of the rectangle is 27 cm².

Step-by-step explanation:

Given :-

Perimeter of rectangle = 24 cm

Length of rectangle = 9 cm

To find :-

Breadth and area of the rectangle.

Solution :-

Formula used :

•Perimeterofrectangle=2(length+Breadth){\boxed{\sf{Perimeter\:of\: rectangle=2(length+Breadth)}}}

Perimeterofrectangle=2(length+Breadth)

• Areaofrectangle=length×breadth{\boxed{\sf{Area\: of\: rectangle=length\times\: breadth}}}

Areaofrectangle=length×breadth

Let the breadth of the rectangle be x cm.

According to the question,

2(9+x) = 24

→ 9+x = 24/2

→ 9+x = 12

→ x = 12-9

→ x = 3

Therefore, breadth of the rectangle is 3 cm.

Area of the rectangle,

= length × breadth

= (9× 3) cm²

= 27 cm²

Therefore, area of the rectangle is 27 cm².

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★ MoreInfo:‾{\underline{\sf{\blue{More\:Info:}}}}

MoreInfo:

Area of square = side²

Perimeter of square = 4× side

Diagonal of rectangle = √(length² + breadth²)

Answer 2

Answer:

• The breadth of the rectangle = 3 cm
• The area of the rectangle = 27 cm²

Given:

• A rectangle has perimeter 24cm and length 9cm.

Need to find:

• The breadth of rectangle = ?
• The area of rectangle = ?

Solution:

✪ Iɴ ᴄᴀsᴇ 1:

• The breadth of the rectangle = ?

Let the breadth of the rectangle = y cm

Formula used here:

• Perimeter of the rectangle = 2(l + b)

Putting the values:

➜ 24 cm = 2 × (9 + y)

➜ 24 cm = 18 + 2y

➜ 2y = 24 - 18

➜ 2y = 6

➜ y = 6/2

➜ y = 3 cm

Therefore:

• The length of the rectangle is 3 cm.

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✪ Iɴ ᴄᴀsᴇ 2:

• The area of the rectangle = ?

Formula used here:

• Area of the rectangle = Length × Breadth

Putting the values:

➜ Area of the rectangle = 9 cm × 3 cm

➜ Area of the rectangle = 27 cm²

Therefore:

• The area of the rectangle is 27 cm².

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