Question

The lenght of a rectangular field is 20 m than its breadth. If the perimeterof the field is 280m what is its length?

Answer 1

Answer:

Step-by-step explanation:

length= b+20

Breadth = b

Perimeter = 280

FORMULA:

2(l+b)= 280

2(b+20+b) = 280

2(2b+20) = 280

2b+20 = 280/2

2b+20 = 140

2b = 140-20

2b = 120

b = 120/2

b = 60 cm

LENGTH = b +20

Therefore, length of rectangular field is 60 + 20, that is 80 cm.

Answer 2

Given :-

• Its length is 20m more than the breadth
• Perimeter of Rectangle = 280m

To Find :-

• Length and Breadth of Rectangle

Solution :-

⟾ Let the Breadth of Rectangle be x

⟾ Then Length of Rectangle will be x + 20

According to the Question :

➞ Perimeter of Rectangle = 2 ( L + B )

➞ 280 = 2 ( x + 20 + x )

➞ 280 / 2 = x + 20 + x

➞ 140 = 2x + 20

➞ 140 - 20 = 2x

➞ 120 = 2x

➞ 120 / 2 = x

➞ 60 = x

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Verification :

➞ Perimeter = 2 ( L + B )

➞ Perimeter = 2 (x + 20 + x)

➞ Perimeter = 2 (60 + 20 + 60)

➞ Perimeter = 2 (80 + 60)

➞ Perimeter = 2 × 140

➞ 280 = 280

Hence Verified

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Therefore :

• Length = x + 20 = 60 + 20 = 80m
• Breadth = x = 60m

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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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