Firstly, we will draw diagram
we will draw line qq'
which will make mqq'n as parallelogram
and we know that opposite sides of parallelograms are always equal
so, we get
we are given
mq=42
so,
we can see that q' lies on np
so, we can write as
we are given
np=112
so, we can plug these values
now, we can see that
triangle qpq' forms isosceles triangle
so, we get
so,
............Answer
Answer:
a.(10,23)
b.(7,30)
e.(20,20)
Step-by-step explanation:
We are given that
x=Width of garden
y=Length of garden
According to question
Perimeter of rectangle=
Where x=Width of rectangle
y=Length of rectangle
Fencing used =
First we change inequality into equality
...(1)
...(2)
...(3)
Substitute x=0 in equation (3)
Substitute y=0 in equation (3)
Substitute x=0 and y=0 in equation (3)
It is true. Therefore, the shaded region below the line.
These are false equation .Therefore, the shaded region above the line.
Substitute x=5 in equation (3)
Substitute y=20 in equation (3)
Intersection point of equation (1) and (3) is (5,35) and intersect point of equation (2) and (3) is (20,20).
Now,
a.(10,23)
Substitute in
10>5 and 23>20
it satisfied all inequality.
Hence, it is a solution.
b.(7,30)
7>5
30>20
it satisfied all inequality.
Hence, it is a solution.
c.(18,25)
18>5
25>20
It does not satisfied third inequality
Hence, it is not a solution.
d.(8,35)
8>5
35>20
It does not satisfied third inequality
Hence, it is not a solution.
e.(20,20)
20>5
20=20
it satisfied all inequality.
Hence, it is a solution.
