A wire when bent in the form of a square
encloses an area of 484 m². Find the largest
area enclosed by the same wire when bent to
form:
(i) an equilateral triangle.
(ii) a rectangle of breadth 16m. Please☠no spam☠
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Area (when it is square)
a² = 484m²
a = √484 m²
length of wire = 4a = 4 × 22 = 88m
(i)Equilateral triangle (Image 1):-
3P = length of wire = 88m
P = 88/3 m
☆area = √3/4 p² = √3/4 × (88/3)²
= 1936√3/9 m²
(ii)Rectangle of breadth 16m ( Image 2):-
2( l + b) = 88
=> ( l + b) = 44
=> l = 44 - 16
=> l = 28 m
☆area = l × b = 28 × 16
= 448 m²
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hence,
》Area of equilateral triangle = 1936√3/9 m²
》Area of rectangle = 448 m²
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