find the area of the following quadrilateral
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find the area of the following quadrilateral
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Answer:
(i)Area of triangle
1
=
2
(11)(22)
=121cm
2
Area of triangle
2
=
2
(16)(22)
=176cm
2
Area of quadrilateral=121+176=297cm
2
(ii)9
2
+12
2
=81+144=225
225
=15
Area of triangle=
2
(15)(16)
=120cm
2
Perimeters=
2
9+12+15
=18
Area of triangle=
18(18−15)(18−9)(18−12)
=
2916
=54cm
2
Area of quadrilateral=120+54=174cm
2
(iii)Area of triangle
1
=
2
(27)(12)
=162cm
2
Area of triangle
2
=
2
(27)(10)
=135cm
2
Area of quadrilateral=162+135=297cm
2