Find the Area of the Polygon

Question

Find the Area of the polygon formed when these points are connected:

A: (1,7)

B: (1,5)

C: (7,5)

D: (7,7)

Area = __ Square Units

Answer 1

Hi, Hidy.

If you were to plot this polygon on a coordinate plane, you would see that this polygon

is actually a rectangle. I suggest you do this and see that the rectangle has a height of

2 units and a length of 6 units. You can also find these lengths using the distance formula.

For distance between Pt. C - Pt. B .....Distance between (7,5) and (1,5) which is √[(7-1)² + (5-5)²] = √6² = 6.

For the height, Distance between Pt. A - Pt B ... Distance between (1,7) - (1,5) which is √[(1-1)² + (7-5)²] =√2² = 2.

Now you know that the rectangle has length 6 units and width 2 units.

You can plug it into the formula for area of a rectangle and get

A = 6 x 2 = 12 square units