Question

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

Answer 1

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 `sqrt256` = 16 m

Perimeter = 2(l + b)

= 2(30 + 16)

= 2 × 46

= 92 m