A trapezium has two parallel sides of length 5cm and 9cm. If the area is 21cm2, find the distance between the parallel sides

Assessment: JAMB UTME - Mathematics - 2003 Subject: General Mathematics

Question 1 Report

A trapezium has two parallel sides of length 5cm and 9cm. If the area is 21cm2, find the distance between the parallel sides
Answer Details
The area of a trapezium is given by the formula A = (1/2)(a+b)h, where a and b are the lengths of the parallel sides, and h is the perpendicular distance between them. In this question, we are given that the parallel sides have lengths 5cm and 9cm, and the area is 21cm^2. We can plug these values into the formula and solve for h: 21 = (1/2)(5+9)h 21 = (1/2)(14)h 21 = 7h h = 3 Therefore, the distance between the parallel sides is 3cm. So the answer is option A: 3cm.
Read lesson note on Areas (WAEC)
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