Question

In this polygon all angles are right angles
What is the area of the polygon? Show your work.

Answer 1

If all angles are right angles and there are six sides, the polygon is a rectangle or a square.

The formula for the area of a rectangle is:

Area = length x width

We need to find the length and width of the rectangle. The two largest measurements must be the length and width of the rectangle, but we don't know which is which. So, let's try both possibilities:

Option 1:

Length = 46 cm
Width = 30 cm

Area = length x width
Area = 46 cm x 30 cm
Area = 1380 cm²

Option 2:

Length = 30 cm
Width = 46 cm

Area = length x width
Area = 30 cm x 46 cm
Area = 1380 cm²

So, the area of the polygon is 1380 cm².

Answer 2

Yes, all the angles are right angles.
Hope that helps :)