Question

Check these questions please. c:
@Michele_Laino

Answer 1

question #1
the base of the rectangle is:
\[base = \sqrt {{{\left( {7 - 1} \right)}^2} + {{\left( {3 - \left( { - 3} \right)} \right)}^2}} = \sqrt {36 + 36} = 6\sqrt 2 \]
whereas the height of the rectangle, is:
\[height = \sqrt {{{\left( {7 - 5} \right)}^2} + {{\left( {3 - 5} \right)}^2}} = \sqrt {4 + 4} = 2\sqrt 2 \]

Answer 2

so, area is:
\[area = 6\sqrt 2 \times 2\sqrt 2 = ...?\]

Answer 3

for example, the base is the distance between the points (1,-3) and (7,3). So I have applied this formula:

\[d = \sqrt {{{\left( {{x_2} - {x_1}} \right)}^2} + {{\left( {{y_2} - {y_1}} \right)}^2}} \]

Answer 4

24

Answer 5

ok!

Answer 6

So the answer to the first question is 24?

Answer 7

yes!

Answer 8

So are 3 and 4 right?

Answer 9

second question:
here the requested area, is equal to the area of the rectangle FWCS plus the area of the triangle FSN

Answer 10

area of the rectangle FWCS = 9*2=...?

Answer 11

18?

Answer 12

ok!

Answer 13

now the area of the triangle is:
area = base *height/2=9*6/2=...?
since the height is 6 units, or 6 little squares