ICSE-VIII-Mathematics
20: Area of Trapezium and a Polygon Class 8 Maths
- #6The adjacent sides of a parallelogram are 21 cm and 28 cm. If its one diagonal is 35 cm; find the area of the parallelogram.Ans :
First we find area of ΔABC,
Sides are, a = 28 cm
B = 35 cm
And c = 21 cm
S = (a + b + c)/2
= (28 + 35 + 21)/2
= 84/2
= 42 cm
∵ Diagonal of ∥gm divides it into two equal parts.
∴ area of ∥gm = 2 × area of ΔABC
= 2 × 294
= 588 cm2