Question

Area of a rectangle is 238. If the breadth is 14 cms, what is the length?​

Answer 1

Given :

• Area of rectangle = 238 cm²
• Breadth of rectangle = 14 cm

To find :

• Length of the rectangle

Knowledge Required :-

→ Formula of area of rectangle :-

• Area of rectangle = l × b

where,

• l = length of the rectangle
• b = breadth of the rectangle

Solution :

⠀⠀⠀⇒ Area = l × b

⠀⠀⠀⇒ 238 = l × 14

⠀⠀⠀⇒ 238/14 = l

⠀⠀⠀⇒ 17 = l

★ Length of the rectangle = 17 cm

━━━━━━━━━━━━━━━

Verification :-

Substitute the value of l in 238 = l × 14

LHS = 238

Taking RHS,

⠀⠀⠀⇒ l × 14

⠀⠀⠀⇒ 17 × 14

⠀⠀⠀⇒ 238

RHS = 238

LHS = RHS

Hence, verified.

━━━━━━━━━━━━━━━

Know MorE :-

Properties of rectangle :-

• The opposite sides of rectangle are parallel and equal to each other.
• The diagonals of rectangle bisect each other.
• All the angles of rectangle sum up to 90°.

Some related formulae :-

• Perimeter of reactangle = 2(l + b)
• Diagonal of rectangle = √l² + √b²
• Area of square = side × side
• Perimeter of square = 4 × side
• Diagonal of square = √2a

Answer 2

Given :-

• Area of Rectangle = 238cm²
• Length of Rectangle = 14cm

To Find :-

• Breadth of Rectangle

Solution :-

➞ Area of Rectangle = Length × Breadth

➞ 238 = 14 × Breadth

➞ 238 / 14 = Breadth

➞ 17 = Breadth

Thus Breadth of Rectangle is 17cm

________________

★ 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

________________