Exercise 6.1 (Answers on p. 583)
Find the perimeter of the rectangle ABCD where A(4, ), B(4. -2), C(-3,-!|
D(-3, 5).
2. Find the area of the triangle ABC where
(a) A(2, 1), B(5, 1) and C(6,5),
(b)A(3, 2), B(3, 6) and C(-2, 3),
1) A(1,5), B(-2,5) and C(1, -1),
(d) A(-1,2), B(1, 2) and C(3,5).
3. Find the area of the trapezium ABCD where A(4, -1), B(2,3), C-1/
-
D(-2,-1).

the system of inequity is

step-by-step explanation:

from the given graph it is noticed that we have two related lines. one is solid and another is dashed.

if a line passing through two points, then the equation of line is

the solid line passing through the points (0,4) and (4,0).

the related equation of solid line is .

similarly, find the related equation of dashed line. the dashed liune passing through the points (0,0) and (3,1).

the related equation of dashed line is

from the given graph it is noticed that the point (0,1) lies on the shaded region, therefore the point (0,1) must be satisfied by the related equations.

check the related equations by the point (0,1).

this statement is true if the sign of inequality is < instead of equality. since it is an solid line therefore the sign of inequality will be . the required inequality is

similarly, check the second related equation.

it is a dashed line, so this statement is true if the sign of inequality is > . the required inequality is

54 kilometers per hour

step-by-step explanation:

according to rules:

1 km = 1000 meter

which means that 1 meter = 1/1000 km

1 hour = 3600 second [ as 1 hour = 60 min = 60 *60 seconds ]

which means that 1 second = 1/3600 hour

therefore, 1 kilometer/hour =

thus to convert 15 meter per second to kilometer per hour, we multiply 15 to 3.6 kilometer/hour.

15 meter/second=   which is the required answer.