Trapezoid Billboard Area Gain

The advertising agency invented a new shape for billboards to attract attention - a trapezoid. How much more m² of area did they gain if the size of the classic billboard is 5.1x2.4 m and the dimensions of the trapezoidal billboard are 4.2 and 6 m bases and 2.4 m height?

Final Answer:

S =  0 m²

Step-by-step explanation:

$$\begin{gathered} x=5.1\text{m} \\ y=2.4\text{m} \\ {S}_1=x\cdot y=5.1\cdot 2.4=\frac{306}{25}=12.24{\text{m}}^2 \\ a=4.2\text{m} \\ c=6\text{m} \\ h=2.4\text{m} \\ {S}_2=(a+c)\cdot h/2=(4.2+6)\cdot 2.4/2=\frac{306}{25}=12.24{\text{m}}^2 \\ S=S_2-S_1=12.24-12.24=0{\text{m}}^2 \end{gathered}$$

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