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A rectangular room has an area of 60 m2 and a perimeter of 34 m. The length of the diagonal of the rectangular room is same as the side of a square. The perimeter of the square (in m) is:
64
100
44
52
- Area and perimeter are key to solving this problem.
- Given: Area = 60 m² and Perimeter = 34 m.
ab = 60 2(a + b) = 34 = a + b = 17 Squaring on both sides, a2+ b2+2ab = 289 a2 + b2 + 2 x 60 = 289 a2 + b2 = 169 Va2+ b2 = Diagonal of the rectangle = Side of the square ?Side of the square =√169= 13 cm Area of the square = 13 x 13 = 169 cm2
Perimeter of the square = 52 cm.
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