The length of a rectangular field is 30 m and its diagonal is 34 m.

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asked 6 days ago in Class VII Maths by aditya23 (-854 points)

The length of a rectangular field is 30 m and its diagonal is 34 m. Find the breadth of the field and its perimeter.

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1 Answer

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answered 6 days ago by navnit40 (-3,089 points)

Length = 30 m

Diagonals = 34 m

Let the breadth of the rectangle = b m

Applying Pythagoras Theorem in triangle

ABC,

We get,

AC2 = AB2 + BC2

(34)2 = (30)2 + b2

1156 = 900 + b2

1156 – 900 = b2

256 = b2

⇒ b = √256 = 16 m

Perimeter = 2 (l + b)

= 2(30 + 16) = 2 × 46 = 92 m

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