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Answers
Answer:
Step-by-step explanation:
Perimeter = 5+5+1
= 11
Semiperimeter = 11 / 2
∴ Area = √s(s-a) (s-b) (s-c)
= √11/5 (11 / 2 - 5) (11 / 2 - 5) (11 / 2 - 5)
=√ 11/2 (11 / 2 - 5 X 2 / 1 X 2) (11 / 2 - 5 X 2 / 1 X 2) (11 / 2 - 5 X 2 / 1 X 2)
= √ 11 / 2 X (11 / 2 - 10 / 2) (11 / 2 - 10 / 2) (11 / 2 - 10 / 2)
= √ 11 / 2 X 1 / 2 X 1 / 2 X 9 / 2
= 1 / 2 √11 / 2 X 9 / 2
= 1 / 2 √ 99 / 4
= 1 / 2 X 3 / 2 √ 11
= 3 / 4 √ 11
= 3 / 4 X 3.32
= 2.49 cm²
II - Perimeter of rectangle
= l X b
= 6.5 X 1
= 6.5 cm²
III - Area of trapezium = 1 / 2 X (sum of parallel sides) X h
1² = 0.5² + x
1 = 0.25 + x²
1 - 0.25 = x²
0.75 = x²
x = √ 0.75
= √ 75 / 100
= √ 3 / 4
Area of trapezium = 1/ 2 X (sum of parallel sides) X h
= 1 / 2 ( 2 + 1 ) X √3 / 2
= 1 / 2 X 3 X √3 / 2
= 3√3 / 4
= 1.3