In the given figure, ABCD is a quadrilateral shaped field in which dia

1.	In the given figure, ABCD is a quadrilateral shaped field in which diagonal BD is 36m, AL ⊥ BD and CM ⊥ BD such that AL=19m and CM=11m. Find the area of the field.
Answer» The given details are, AL ⊥ BD and CM ⊥ BD AL=19m, CM=11m, BD=36m By using the formula, Area (quad.ABCD) = area (△ABD) + area(△ACD) Area of triangle=1/2 × base × height ∴ Area (quad.ABCD) = (½ × BD × AL) + (½ × BD × CM) = (½ × 36 × 19) + (½ × 36 × 11) = 342 + 198 = 540m²

In the given figure, ABCD is a quadrilateral shaped field in which diagonal BD is 36m, AL ⊥ BD and CM ⊥ BD such that AL=19m and CM=11m. Find the area of the field.

Answer»

The given details are,

AL ⊥ BD and CM ⊥ BD

AL=19m, CM=11m, BD=36m

By using the formula,

Area (quad.ABCD) = area (△ABD) + area(△ACD)

Area of triangle=1/2 × base × height

∴ Area (quad.ABCD) = (½ × BD × AL) + (½ × BD × CM)

= (½ × 36 × 19) + (½ × 36 × 11)

= 342 + 198

= 540m²