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Answer:
Width of verandah = 1 m
Area of path = 234m²
Explanation:
Dimension of room :
6m by 4m
(6m * 4m) = 24m²
(6 + 2x)(4 + 2x) - 24 = 24
24 + 12x + 8x + 4x² - 24 = 24
4x² + 20x = 24
4x² + 20x - 24 = 0
x² + 5x - 6 = 0
x² + 6x - x - 6 = 0
x(x + 6) -1(x + 6) = 0
(x + 6) = 0 or (x - 1) = 0
x = - 6 or x = 1
x can't be negative, hence x = 1
B.)
Dimension of garden :
18 m by 15 m
Area of garden = 18 m * 15 m = 270 m²
Width of path which surrounds garden = 3m
Hence, dimension of path :
Area of garden and path
(18 +3 + 3)m by (15+3 + 3)m
24m by 21m
Area of path and garden = area of rectangle
Area of rectangle = Length * width
Area of rectangle = 24m * 21m
Aewa of path and garden = 504m²
.
Area of path :
Area of path and garden - Area of garden
504m² - 270m²
= 234m²
