pls solve it roughly
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Answered by
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Given:-
- Length of rectangle = 40 cm
- Diagonal of rectangle = 41 cm
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To find:-
- Perimeter of rectangle
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Figure is in image
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In ∆ ABC
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Formula used:-
Pythagoras theorem that is
☘ (Base)² + (Perpendicular)² = (Hypotenuse)²
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Base = BC = To find
Perpendicular = AB = 40 cm
Hypotenuse = AC = 41 cm
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Put the values in formula
⇒(BC)² + (40)²= (41)²
⇒(BC)² = (41)² - (40)²
⇒(BC)² = 1681 -1600
⇒(BC)² = 81
⇒BC =
⇒BC = 9 cm
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✢ BC is breadth of rectangle and BC is side of triangle.
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So, Breadth of rectangle = 9 cm
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☘ Perimeter of rectangle = 2(l + b)
⇒2 × (40 + 9)
⇒80 + 18
⇒98 cm
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Thus, Perimeter of rectangle is 98 cm.
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