Question

The diagonal of a quardrilaterl is 40m long and the perpendiculare form the opposite corners are 8m and 10m respectively. Find it area.

Answer 1

Answer:

360 m^2 is the answer.

✨ Step-by-step explanation:

A diagonal of quad divides it into two triangles.

➡️ Area of quad = area of triangles

Now,

Area of triangle with base 40 m and height 8m + area of triangle with base 40 m and height 10m = area of quadrilateral.

= 1/2 ☓ 40 ☓ 8 + 1/2 ☓ 40 ☓ 10

= 1/2 ☓ 40 ( 8 + 10)

= 1/2 ☓ 40 ☓ 18 m^2

= 9 ☓ 40 m^2

= 360 m^2.

➡️ Area of quadrilateral = 360 m^2