Question

Can you explain my work

Answer 1

For both figures, we need to count the number of squares and possible triangles in them.

Figure A:

In figure A, we have 9 squares and one triangle. The area of a triangle is:

`A=(base\cdot Altitude)/(2)=(1\cdot3)/(2)=(3)/(2)=1.5`

So, the area of figure A is 9 squares + 1.5 squares = 10.5 squares units.

Figure B:

We have 14 squares. We also have 4 small triangles that are equivalent to 2 squares. The final area is the triangle (applying the same formula than before):

`A=(b\cdot Altitude)/(2)=(1\cdot5)/(2)=(5)/(2)=2.5`

Then, we have, for figure B: 14 squares + 2 squares + 2.5 squares = 18.5 square units.

Therefore, Figure A is 10.5 square units, and Figure B is 18.5 square units.