find base (a) if height and area of parallelogram is 246 sq cm. (b) if height is 31.4mm and area of triangle is 1256 sq mm.
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Answer:
(a) Given; base = 4 cm and height = 3 cm
Area of triangle
=
1
2
×
base
×
height
=
1
2
×
4
×
3
=
6
sq cm
(b) Given; base = 5 cm and height = 3.2 cm
Area of triangle
=
1
2
×
base
×
height
=
1
2
×
5
×
3.2
=
8
sq cm
(c) Given; base = 3 cm and height = 4 cm
Area of triangle
=
1
2
×
base
×
height
=
1
2
×
3
×
4
=
6
sq cm
(d) Given; base = 3 cm and height = 2 cm
Area of triangle
=
1
2
×
base
×
height
=
1
2
×
3
×
2
=
3
sq cm
Question 3: Find the missing values.
S. No. Base Height Area of Parallelogram
(a) 20 cm 246 sq cm
(b) 15 cm 154.5 sq cm
(c) 8.4 cm 48.72 sq cm
(d) 15.6 cm 16.38 sq cm
(a) Given: Base = 20 cm, Area = 246 cm2
Area = Base
×
Height
⇒
246
c
m
2
=
20
c
m
×
Height
Or,
height
=
246
20
=
12.3
cm
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