Question

The perimeter of a rectangular field is 240 m. If its length is 90 m, find:
(i) it’s breadth​

Answer 1

Step-by-step explanation:

perimeter of rectangle = 2( l + b )

24O = 2( 9O + b)

24O = 18O + 2b

24O - 18O = 2b

6O = 2b

b = 6O ÷ 2

.: b= 3O m

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Answer 2

Given :

• Perimeter of Rectangle = 240m
• Length of Rectangle = 90m

To Find :

• Breadth of Rectangle

Solution :

✰ In this question, Perimeter of Rectangle and Length of Rectangle are given and we have to find the Breadth of Rectangle . For Finding the Breadth of Rectangle we will use Perimeter of Rectangle ( 2 ( Length + Breadth ).

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⟾ Breadth of Rectangle :

• Perimeter of Rectangle = 2 (L + B)
• 240 = 2 ( 90 + Breadth )
• 240 / 2 = 90 + Breadth
• 120 = 90 + Breadth
• 120 - 90 = Breadth
• 30m = Breadth

⠀

Verification :

• Perimeter of Rectangle = 2 (L + B)
• Perimeter of Rectangle = 2 (90 + 30)
• Perimeter of Rectangle = 2 × 120
• 240 = 240

Hence Verified

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Therefore

• Breadth of Rectangle = 30m

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✰ What if we need to find area ?

• Area of Rectangle = L × B
• Area of Rectangle = 90 × 30
• Area of Rectangle = 2700m²

Thus Area of Rectangle is 2700m²

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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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