SOLUTION
Given the question in the image, the following are the solution steps to answer the question.
STEP 1: Draw the given figure
STEP 2: Write the formula to use get the area of the figure
[tex]\begin{gathered} \text{Area of the figure=Area of A + Area of B} \\ A\text{ is a parallelogram} \\ \text{Area of parallelogram= base x height} \\ B\text{ is a }Trapezium \\ \text{Area of Trapezium= }\frac{1}{2}(a+b)\times h_{} \end{gathered}[/tex]
STEP 3: Calculate the area of A
[tex]\begin{gathered} \text{For A} \\ \text{base}=23cm,height=14cm \\ \text{Area}=23\times14=322cm^2 \end{gathered}[/tex]
STEP 4: Calculate the area of B
[tex]\begin{gathered} For\text{ B,} \\ a=15cm,b=34cm,h=19cm \\ \text{Area}=\frac{1}{2}(15+34)\times19 \\ \text{Area}=\frac{1}{2}\times49\times19 \\ \text{Area}=\frac{49\times19}{2}=\frac{931}{2}=465.5cm^2 \end{gathered}[/tex]
STEP 5: Calculate the area of the figure
[tex]\begin{gathered} \text{Area of the figure=}322cm^2+465.5cm^2 \\ \text{Area of the figure=}787.5cm^2 \\ \text{Area of the figure}\approx787.50cm^2 \end{gathered}[/tex]
Hence, the area of the given figure is 787.50 square centimetres
