Question

what is the area of a rectangular plot whose one side is 8 metre long and diagonal is of length 17m​

Answer 1

Given :-

• Shape = Rectangle
• Diagonal of Rectangle = 17m
• Length of the Rectangle = 8m

To Find :-

• The Area of the Rectangle

Solution :-

❏ Using Pythagoras Theorem

➞ (Diagonal)² = (Length)² + (Breadth)²

➞ ( 17 )² = ( 8 )² + (Breadth)²

➞ 289 = 64 + (Breadth)²

➞ 289 - 64 = (Breadth)²

➞ 225 = (Breadth)²

➞ √225 = Breadth

➞ 15m = Breadth

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❏ Using Area of Rectangle

⟾ Area of Rectangle = Length × Breadth

⟾ Area of Rectangle = 17 × 15

⟾ Area of Rectangle = 255m²

Therefore, Area of Rectangle = 255m²

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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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