Question

I need to find the area but don’t understand help!

Answer 1

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

`\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= }(1)/(2)(a+b)* h_{} \end{gathered}`

STEP 3: Calculate the area of A

`\begin{gathered} \text{For A} \\ \text{base}=23cm,height=14cm \\ \text{Area}=23*14=322cm^2 \end{gathered}`

STEP 4: Calculate the area of B

`\begin{gathered} For\text{ B,} \\ a=15cm,b=34cm,h=19cm \\ \text{Area}=(1)/(2)(15+34)*19 \\ \text{Area}=(1)/(2)*49*19 \\ \text{Area}=(49*19)/(2)=(931)/(2)=465.5cm^2 \end{gathered}`

STEP 5: Calculate the area of the figure

`\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}`

Hence, the area of the given figure is 787.50 square centimetres