Verified answer

Answer:

To find the area of quadrilateral ABCD, we can divide it into two triangles, namely triangle ABD and triangle BCD.

Given that the diagonal BD is 40 m long, and the perpendiculars from the opposite corners are 8 m and 10 m respectively, we can use the formula for the area of a triangle:

Area of a triangle = 1/2 * base * height

For triangle ABD:

Base = BD = 40 m

Height = 8 m

Area of triangle ABD = 1/2 * 40 m * 8 m = 160 m^2

For triangle BCD:

Base = BD = 40 m

Height = 10 m

Area of triangle BCD = 1/2 * 40 m * 10 m = 200 m^2

To find the area of quadrilateral ABCD, we sum the areas of the two triangles:

Area of quadrilateral ABCD = Area of triangle ABD + Area of triangle BCD

Area of quadrilateral ABCD = 160 m^2 + 200 m^2

Area of quadrilateral ABCD = 360 m^2

Therefore, the area of quadrilateral ABCD is 360 square meters.

Answer:

360

Step-by-step explanation:

mark as brainlish ya