Question

2. The diagonal of a quadrilateral is 30 cm in length and the lengths of
perpendiculars to it from the opposite vertices are 8 cm and 10 cm. Find the
area of the quadrilateral.​

Answer 1

Answer:

270 cm²

Step-by-step explanation:

Area of quadrilateral = 1/2 × (Longer diagonal) × (Sum of perpendiculars)

Given, longer diagonal = 30 cm, perpendiculars = 8 cm and 10 cm.

=> Area = 1/2 × 30 × (8+10) = 15 × 18 cm² = 270 cm²

Answer 2

Step-by-step explanation:

diagonal(d)=30cm

h1=8cm and h2=10cm

area of quadrilateral =1/2d(h1+h2)

=1/2(30)(8+10)

=(15)(18)

=270cm²