Question

Find the missing values.

Height 'h'	Parallel side 'a`	Parallel side 'b`	Area
16 cm	15 cm		360 sq.cm

Answer 1

Given: The height h = 16 cm

Parallel sides a = 15 cm

Area of the trapezium = 360 sq.cm

${\displaystyle \frac{1}{2}}$ × h × (a + b) = 360

${\displaystyle \frac{1}{2}}$ × 16 × (15 + b) = 360

15 + b = ${\displaystyle \frac{360}{8}}$

15 + b = 45

b = 45 – 15 = 30

b = 30 cm

Tabulating the results we get

Height 'h'	Parallel side 'a`	Parallel side 'b`	Area
16 cm	15 cm	30 cm	360 sq.cm