Question

Find the area of a quadrilateral the length of whose diagonals are 120 m and 80 m respectively, and are at the right angles to each other.

Answer 1

Given:

Diagonals: d₁ = 120 m, d₂ = 80 m.

The diagonals are perpendicular to each other.

Step-wise calculation:

1. For a quadrilateral whose diagonals are at right angles.

Area = `1/2` × product of the diagonals

2. Substitute values:

Area = `1/2 xx 120 xx 80`

= `1/2 xx 9600`

= 4800

Area = 4800 m².