Question

4. Find the area of a trapezium whose parallel sides
are 40 cm and 24cm, respectively, and the two non-
parallel sides are 17 cm each.​

Answer 1

Answer:

area of trapezium should be 40.5 cm²

Answer 2

Step-by-step explanation:

side(a) = 24cm

side(b) = 40 cm

Non parallel = ?

by pythagoras theorem

hypothesis = 17cm

leg 1 = 8

leg2 = ?

(leg1)² + (leg2)² = (hyp)²

(8)² + (leg2)² = (17)²

(17)² - (8)² = (leg)²

289 - 64 = (leg)²

225 = (leg)²

15cm = (leg)²

area = ?

height = 15cm

areea = ½h (a++b)

=½×15 (24+40)

= 480cm²