Question

The measurements of the figure given below are in centimetres.

Find its area?

Answer 1

Clearly, the figure is a rectangle as its interior angles are equal to 90⁰.
Hence, the opposite sides will be equal.
=> 2 (x+3) = x + 8
=> 2x + 6 = x+ 8
=> x = 2 cm.

Now,
Area of the rectangle = Length × Breadth
Area of the rectangle = (x+8) × (6x+9)
Area of the rectangle = (2+8) × (6 × 2 + 9)
Area of the rectangle = 10 × 21 = 210 <!--td {border: 1px solid #ccc;}br {mso-data-placement:same-cell;}--> ${cm}^2$

Therefore, the area of the figure is 210 ${cm}^2$ .