Find the area of Fig. 34 in the following ways
(i) Sum of the areas of three triangles
(ii) Area of a rectangle - sum of the areas of five triangles
Answers
Answer:
i) Area of triangle QPR : 1/2 × b × h
1/2 × 25 × 10 = 125 cm^2 --------(1)
Area of triangle ABP : 1/2 × b × h
1/2 × 20 × 25 = 250 cm^2 -----(2)
Area of triangle PDC : 1/2 bh
1/2 × 20 × 25 = 250 cm^2 --------(3)
Ans = 125+250+250 = 625cm^2
(ii) Area of a rectangle = L x b sq.units
In rectangle ABCD
L = 50
B = 20
Area = 1000 cm^2
Area of first 3 triangles = 125cm^2 , 250 cm^2 and 250 cm^2
By intersecting B and C and drawing a perpendicular line we get a point.
Let us name it as S
Area of other two triangles =
BPS and CPS
AP = BS = CS = 25cm^2
PS = 20cm^2
Area = 1/2 ×25 × 20 = 250cm^2
Answer = 125+250+250+250+250= 1125cm^2
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Answer:
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