Past papers › WAEC · 2022 · May/June · General Maths · Paper 1 › Question 41 Question WAEC General Maths 2022 Objective Plane mensuration Plane mensuration
WAEC 2022 · Paper 1 · Q41 The lengths of the parallel sides of a trapezium are 9 cm 9\text{ cm} 9 cm and 12 cm 12\text{ cm} 12 cm . If the area of the trapezium is 105 cm 2 105\text{ cm}^2 105 cm 2 , find the perpendicular distance between the parallel sides.
A 5 cm 5\text{ cm} 5 cm B 7 cm 7\text{ cm} 7 cm C 10 cm 10\text{ cm} 10 cm D 15 cm 15\text{ cm} 15 cm
Worked solution (try it first) Area of a trapezium
= 1 2 ( a + b ) h = \frac12(a + b)h = 2 1 ( a + b ) h :
1 2 ( 9 + 12 ) h = 105 \frac12(9 + 12)h = 105 2 1 ( 9 + 12 ) h = 105 .
So
10.5 h = 105 10.5h = 105 10.5 h = 105 and
h = 10 h = 10 h = 10 cm, option C.
Watch out
Keep the 1 2 \frac12 2 1 : without it, 21 h = 105 21h = 105 21 h = 105 gives h = 5 h = 5 h = 5 cm (option A). Report a problem with this question