Answer:
£47.4
Step-by-step explanation:
See the diagram of the trapezoid attached.
ABCD is the trapezoid having AB = 20 m, CD = 12 m and the inclined side BC = 17 m
Now, draw a perpendicular on AB from point C which intersects AB at E.
Now, EB = AB - AE = AB = CD = 20 - 12 = 8 m
Now, Δ CEB is a right triangle and CE² = CB² - EB² = 17² - 8² = 225
⇒ CE = 15 m.
Therefore, the area of the trapezoid is [tex]\frac{1}{2} \times (AE + CD) \times CE = \frac{(20 + 12) \times 15}{2} = 240[/tex] sq. meter.
Now, given that one can of weedkiller can covers 100 sq. meters and each can cost £19.75.
Therefore, 240 sq, meters area will cost £(19.75 × 2.4) = £47.4 (Answer)
