Question

if the base of the trapezium is 10cm, height is 5cm and the side parallel to the base is 6cm long, then the area of the trapezium will be 40square plz answer​

Answer 1

Answer:

the area of the trapezium = 40cm²

Step-by-step explanation:

given,

height = 5cm

AB = 6cm

DC = 10cm

construction : draw a line AE parallel to BC

soln.,

so, ABCD is parallelogram

so, AB = EC = 6cm

DE = DC - EC

so, DE = 4cm

now,

area of ∆ADE = 1/2×DE ×height

= 1/2×4×4

= 2×5 = 10cm²

area of ||gmABCE = EC×height

= 6×5 = 30cm²

area of trapezium= area of ∆ADE+

area of ||gm ABCE

= 10 + 30 = 40cm²

ans. Refer to the figure