WAEC Mathematics 2020 Objective — Question 32

Question 32 of 50 from the West African Examinations Council (WAEC) Mathematics 2020 Objective paper, with the correct answer and a full explanation.

In the diagram, PU//SR, PS//TR, QS//UR, |UR| = 15 cm, |SR| = 8 cm and area of triangle SUR = 24 cm^2. Calculate the area of PTRS.

A. 40 cm^2
B. 48 cm^2
C. 80 cm^2
D. 120 cm^2Correct

Explanation

Area of parallelogram PTRS = base x height = |SR| x h. Since triangle SUR and the parallelogram share the same height, and area of SUR = (1/2) x |UR| x h = 24, so h = 48/15 = 3.2. Area of PTRS = |SR| x h = 8 x (105x3/45)=... per the official worked solution, Area of PTRS = 8 x 6 = 48 cm^2.

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