Question

The length of a 2times 7more than the breadth it is 105m2tham find it length and breadth and what is the perimeter
​

Answer 1

Correct Question:

The length of a rectangle 7 times more than it's breadth. Area of a rectangle is 252 m², then find it's length and breadth. Also find the perimeter of a rectangle.

Given:

✰ The length of a rectangle is 7 times more than it's breadth.

✰ Area of a rectangle is 252 m²

To find:

✠ The length of a rectangle.

✠ The breadth of a rectangle.

✠ The perimeter of a rectangle.

Solution:

Let the breadth of a rectangle be x.

We know that the length of a rectangle 7 times more than it's breadth that means 7 multiplied by it's breadth is length of a rectangle.

then the length of a rectangle = 7x

Now,

Area of rectangle = length × breadth

Area is already given to us,

➤ Area of rectangle = l × b

➤ 252 = 7x × x

➤ 252 = 7x²

➤ x² = 252/7

➤ x² = 36

➤ x = √36

➤ x = 6

∴ The breadth of a rectangle = 6 m

Now,

⇾The length of a rectangle = 7x

⇾The length of a rectangle = 7 × 6

⇾The length of a rectangle = 42 m

∴ The length of a rectangle = 42 m

Now, lets find out the perimeter of rectangle

Perimeter of rectangle = 2 ( l + b )

➤ Perimeter of rectangle = 2 ( 42 + 6 )

➤ Perimeter of rectangle = 2 × 48

➤ Perimeter of rectangle = 96 m

∴ The perimeter of rectangle = 96 m

▭▬▭▬▭▬▭▬▭▬▭▬▭▬▭▬

Answer 2

Correct Question :-

• The length of a rectangle 7 times more than it's breadth. Area of a rectangle is 252 m², then find it's length and breadth. Also find the perimeter of a rectangle.

Given :-

• The length of a rectangle 7 times more than it's breadth
• Area of Rectangle = 252m²

To Find :-

• Length of Rectangle
• Breadth of Rectangle
• Perimeter of Rectangle

Solution :-

⟾ Let the Breadth of Rectangle be x

⟾ Then Length of Rectangle will be 7x

According to the Question :

➞ Area of Rectangle = Length × Breadth

• 252 = 7x × x
• 252 = 7x²
• 252 / 7 = x²
• 36 = x²
• √36 = x
• 6 = x

________________

Therefore :

• Length = x = 6m
• Breadth = 7x = 7 × 6 = 42m

________________

➞ Perimeter of Rectangle = 2( l + b)

• Perimeter = 2 ( 6 + 42 )
• Perimeter = 2 × 48
• Perimeter= 96m

Thus Perimeter of Rectangle is 96m

________________

★ Additional Info :

Formulas Related to Rectangle:

• Perimeter of Rectangle = 2( l + b)
• Area = Length × Breadth
• Length = Area / Breadth
• Breadth = Area / Length
• Diagonal = √(l)² + (b)²

________________