The diagonal of a quadrilateral is 32 m long, and its two offsets are 6 m and 10 m long. The area of the quadrilateral is

Correct option is A

Given:

Length of the diagonal = 32m32m32 \, \text{m} 32

Offsets = 6m and 10m6m6 \, \text{m}6m10m10 \, \tex

Formula used:

Area of quadrilateral = $$\frac{1}{2}\times d(a+b)$$ 

where, d is the diagonal , a and b are offsets

Solution:

Area = $$\frac{1}{2}$$​ $$\times$$​ 32 $$\times$$​ (6 + 10)

= 16 $$\times$$​ 16

= 256$$m^2$$​​