Answer:
The area of the rectangle on the left side is
[tex]9cm \: \times 4cm = 36 {cm}^{2} [/tex]
The area of the bottom rectangle is
[tex]6cm \times 2cm = 12 {cm}^{2} [/tex]
The total area of the composite figure will be
[tex]36 {cm}^{2} + 12 {cm}^{2} = 48 {cm}^{2} [/tex]
Step-by-step explanation:
The area of any given rectangle can be found by multiplying the length of that rectangle by its width. The rectangle on the left side has a length of 9cm but the width is unknown. To find the width, we subtract 6cm from the width of the bottom rectangle: 10cm. And that gives us 4cm.
Therefore, we can now calculate the area to be: length × width = 9cm × 4cm = 36cm²//
The area of the bottom rectangle can be found similarly by multiplying the length: 2cm by the width: 6cm of that rectangle. And the result gives us: 2cm × 6cm = 12cm²//
The total area of the composite figure is calculated by adding the results from the left and bottom rectangles together. And that gives us: 36cm² + 12cm² = 48cm²//
