The diagonal of the rectangular field is 73 m and one of its sides is

1.	The diagonal of the rectangular field is 73 m and one of its sides is 48 m, then what is the area of the rectangular field?1. 2440 m22. 2640 m23. 2644 m24. 2240 m2
Answer» Correct Answer - Option 2 : 2640 m² Given: Side of a rectangular field = 48 m The diagonal of a rectangular field = 73 m Concept used: By using pythagoras theorem Diagonal2 = length2 + breadth2 Formula required: Area of the rectangle = length × breadth Calculations: 73² = 48²+ length² ⇒ Length² = 73² - 48² ⇒ Length² = 5329 - 2304 = 3025 ⇒ Length = √3025 ⇒ Length = 55 Area of rectangular field = 55 × 48 ⇒ 2640 m² ∴ The area of rectangular field is 2640 m²

The diagonal of the rectangular field is 73 m and one of its sides is 48 m, then what is the area of the rectangular field?1. 2440 m22. 2640 m23. 2644 m24. 2240 m2

Answer» Correct Answer - Option 2 : 2640 m²

Given:

Side of a rectangular field = 48 m

The diagonal of a rectangular field = 73 m

Concept used:

By using pythagoras theorem

Diagonal2 = length2 + breadth2

Formula required:

Area of the rectangle = length × breadth

Calculations:

73² = 48²+ length²

⇒ Length² = 73² - 48²

⇒ Length² = 5329 - 2304 = 3025

⇒ Length = √3025

⇒ Length = 55

Area of rectangular field = 55 × 48

⇒ 2640 m²

∴ The area of rectangular field is 2640 m²

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The diagonal of the rectangular field is 73 m and one of its sides is 48 m, then what is the area of the rectangular field?1. 2440 m22. 2640 m23. 2644 m24. 2240 m2

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