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Mathematics
Problem
Quadrilateral
A
B
C
D
ABCD
A
B
C
D
is such that
A
B
∥
C
D
AB\parallel CD
A
B
∥
C
D
and
A
B
=
C
D
=
(
2
s
+
3
)
cm
AB = CD = (2s + 3)\text{ cm}
A
B
=
C
D
=
(
2
s
+
3
)
cm
. The remaining two sides are
A
D
=
(
s
+
9
)
cm
AD = (s + 9)\text{ cm}
A
D
=
(
s
+
9
)
cm
and
B
C
=
17
cm
BC = 17\text{ cm}
B
C
=
17
cm
. (a) Prove that
A
B
C
D
ABCD
A
B
C
D
is a parallelogram. (b) Find the value of
s
s
s
. (c) Hence calculate the perimeter of
A
B
C
D
ABCD
A
B
C
D
.
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