Question

Use the quadrant system to find the area of the polygon.

A. 15 square units
B. 16 square units
C. 18 square units
D. 17 square units

Answer 1

Answer: Option 'C' is correct.

Explanation:

Since we have given that

Dimensions of I st box as shown in the figure below:

Length = 5 units

Width = 2 units

So, Area of Ist box will be given as

`Length* Breadth=5* 2=10\ sq.\ units`

Dimensions of II nd box as shown in the figure below:

Length = 2 units

Width = 1 unit

So, Area of II nd box will be given as

`Length* Breadth=2* 1=2\ sq.\ units`

Similarly,

Dimensions of III rd box as shown in the figure below:

Length = 3 units

Width = 2 units

So, Area of III rd box will be given as

`Length* Breadth=3* 2=6\ sq.\ units`

Total area of the polygon will be

`10+2+6=18\ sq.\ units`

Hence, Option 'C' is correct.