WAEC Mathematics 2004 Question 11

Question 11

Mensuration of Plane Shapes

Find the area of a rectangle of length 4cm and whose diagonal is 8cm. (Leave your answer in surd form)

  1. A.8√3 cm2
  2. B.12√3cm2
  3. C.16√2cm2
  4. D.16√3cm2
Show the answer and explanation

Answer: D (16√3cm2)

Explanation

The other side = √(82 − 42) = √48 = 4√3 cm. Area = 4 × 4√3 = 16√3 cm2.