Find the area and the perimeter o
quadrilateral ABCD, given below; if
AB = 8 cm, AD = 10 cm, BD = 12 cm
DC = 13 cm and angleDBC = 90°.
Note: the answer should come like this
area=69.7cm²
perimeter=36cm
please answer this question fast it is very urgent
Answers
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Perimeter of the quadrilateral =10+8+5+13=36cm
Area of the quadrilateral=area of the triangle ABD+area of the triangle DBC.
Area of the triangle DBC=
2
1
×B×H
=
2
1
×5×12
=30cm
2
Area of the Triangle ABD=
s(s−a)(s−b)(s−c)
Here, s=
2
10+12+8
=15cm
Therefore area=
15(15−10)(15−12)(15−8)
=15
7
cm
2
Therefore area of the quadrilateral=15+15
7
=15(1+
7
)cm
Answer:
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MATHS
Find the area and the perimeter of quadrilateral ABCD, given below; if AB= 8 cm, AD= 10 cm, BD = 12 cm, DC = 13 cm, and ΔDBC=90
∘
question
December 20, 2019
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Rubal Ketan
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ANSWER
Perimeter of the quadrilateral =10+8+5+13=36cm
Area of the quadrilateral=area of the triangle ABD+area of the triangle DBC.
Area of the triangle DBC=
2
1
×B×H
=
2
1
×5×12
=30cm
2
Area of the Triangle ABD=
s(s−a)(s−b)(s−c)
Here, s=
2
10+12+8
=15cm
Therefore area=
15(15−10)(15−12)(15−8)
=15
7
cm
2
Therefore area of the quadrilateral=15+15
7
=15(1+
7
)cm
2