Question

||| GEOMETRY Area of a piecewise rectangular figure Find the area of the figure. (Sides meet at right angles.) ہے 5 cm 8 cm 3 cm 3 cm 8 cm 0 2 cm

Answer 1

Given: A piecewise rectangular figure is given.

Required: To determine the area of the given figure.

Step-by-step explanation: The area of the given figure can be determined by splitting the figure into two squares as shown below:

Now the figure is divided into a square with an edge of 3 cm and a rectangle of 8 cm by 5 cm.

And the area of the square is

`(edge)^2`

And the area of a rectangle is the product of length by breadth.

Hence, the area of the figure is-

`\begin{gathered} A=(8*5)^+(3)^2 \\ =40+9 \\ =49\text{ cm}^2 \end{gathered}`

Final Answer: The area of the figure is 49 square centimeters.