Can anyone please help me to find the area of this please

9514 1404 393

  √35 +3√7 -6 . . . square units

Step-by-step explanation:

The area can be figured a number of ways. The figure can be divided into parts, and the areas of those parts added.

Or, the area of the enclosing rectangle can be found, and the rectangle at upper right that is not shaded can be subtracted from that. We choose the latter.

The overall width is the sum of the given partial widths:

  width = (√7 -2) + (2) = √7

Then the area of the bounding rectangle is ...

  A = LW = (√5 +3)(√7) = √35 +3√7

The area of the upper right empty-space is ...

  A = LW = (3)(2) = 6

Then The area of the shaded figure is ...

  √35 +3√7 -6