Question

The diagonals of a quadrilateral field is 36m and the perpendiculars dropped on it from the remaining opposite vertices are 7m and 3m. Find the ares of the field.​

Answer 1

Answer :

Area of the field = 360m²

Explanation :

The field is quadrilateral shaped.

Where, the diagonal is 36m and the perpendiculars dropped from the opposite remaining vertices are 7m & 3m.

Find the area of the field.

Here,

Area of the quadrilateral:

→ Area of the upper triangle + Area of the lower triangle.

We know that,

Area of the upper triangle = base × height

Where,

• base = 36m
• height(perpendicular) = 7m

∴ Area :

= 36 × 7

= 252m²

And also,

Area of the lower triangle,

Where, base & height will be 36m & 3m respectively.

So the area -

→ 36 × 3

→ 108m²

Therefore,

Area of the quadrilateral field :

→ 252 + 108

→ 360m²