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:

$A=\frac{base\cdot Altitude}{2}=\frac{1\cdot3}{2}=\frac{3}{2}=1.5$

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):

$A=\frac{b\cdot Altitude}{2}=\frac{1\cdot5}{2}=\frac{5}{2}=2.5$

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.