perimeter of a rhombus is 144 cm and one of its diagonal is 48 cm. find the area of the rhombusl
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A
≈
1287.98
cm²
p
Diagonal
cm
P
Perimeter
cm
Using the formulas
A
=
p
q
2
P
=
4
a
a
=
p
2
+
q
2
2
Solving for
A
A
=
1
4
p
P
2
﹣
4
p
2
=
1
4
·
48
·
144
2
﹣
4
·
48
2
≈
1287.97516
cm²
≈
1287.98
cm²
p
Diagonal
cm
P
Perimeter
cm
Using the formulas
A
=
p
q
2
P
=
4
a
a
=
p
2
+
q
2
2
Solving for
A
A
=
1
4
p
P
2
﹣
4
p
2
=
1
4
·
48
·
144
2
﹣
4
·
48
2
≈
1287.97516
cm²
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