Find the area of a quadrilateral with diagonal 13 m and offsets 7 m and 3 m.

A quadrilateral is a closed shape that is obtained by joining four points among which any three points are non-collinear.

Answer: The area of a quadrilateral with diagonal 13 m and offsets 7 m and 3 m is 65 sq.m.

Let's find the area of a quadrilateral with a diagonal of 13 m and offsets 7 m and 3 m.

Explanation:

The formula for the area of a quadrilateral is 1/2 × (length of the diagonal) × (sum of the offsets)

Area = 1/2 × (length of the diagonal) × (sum of the perpendiculars from the opposite vertices)

Length of the diagonal = 13 m

Sum of the offsets = sum of the perpendiculars = (7 + 3) = 10 m

Area = 1/2 × (13) × (7+3) = 1/2 × (13) × (10) = 13 × (5) = 65 m²

Therefore the area of the given quadrilateral is 65 sq.m.

Thus, the area of the quadrilateral with a diagonal of 13 m and offsets as 7 m and 3 m is 65 sq.m.