Question

The length of a rectangle exceeds the breadth by 8cm centimeter find the area if the rectangle if its perimeter is one 180 centimeter.

Answer 1

Hi ,

Let breadth of the rectangle ( b )= x m

length = ( l ) = ( x + 8 ) cm

Perimeter = 180 cm

2 ( l + b ) = 180

l + b = 90

( x + 8 + x ) = 90

2x = 90 - 8

2x = 82

x = 82/2

x = 41 cm

Therefore ,

Breadth = b = x = 41 cm

Length = l = x + 8 = 41 + 8 = 49 cm

area = lb

A = 49 × 41

= 2009 cm²

I hope this helps you.

: )

Answer 2

Given :

• The length of a rectange is 8cm more than it breadth
• Perimeter of Rectangle = 180cm

To Find :

• Length and Breadth of Rectangle

Solution :

⟾ Let the Breadth of Rectangle be x

⟾ Then Length of Rectangle will be x + 8

According to the Question :

➞ Perimeter of Rectangle = 2 ( L + B )

➞ 180 = 2 ( x + 8 + x )

➞ 180 / 2 = x + 8 + x

➞ 90 = 2x + 8

➞ 90 - 8 = 2x

➞ 82 = 2x

➞ 82 / 2 = x

➞ 41 = x

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Verification :

➞ Perimeter of Rectangle = 2 ( L + B )

➞ Perimeter of Rectangle = 2 (x + 8 + x)

➞ Perimeter of Rectangle = 2 (41 + 8 + 41)

➞ Perimeter of Rectangle = 2 (49 + 41)

➞ Perimeter of Rectangle = 2 × 90

➞ 180 = 180

Hence Verified

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Therefore :

• Length = x + 8 = 41 + 8 = 49cm
• Breadth = x = 41cm

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★ 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

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