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प्रश्न
A canal of width 1 m is constructed all along inside the field which is 24 m long and 15 m wide. Find (i) the area of the canal (ii) the cost of constructing the canal at the rate of ₹ 12 per sq.m.
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उत्तर
Length of the field L = 24 m
Width (Breadth) of the field B = 15 m
(i) Area of the field = L × B sq.units
= 24 × 15 m2
= 360 m2
(ii) Width of the canal (W) = 1 m
Length of the field without canal (l) = L – 2(W)
= 24 – 2(1) m
= 24 – 2 m
= 22 m
Width of the field without canal (b) = B – 2W
= 15 – 2(1) m
= 15 – 2 m
= 13 m
Area of the field without canal = l × b sq.units
= 22 × 13 m2
= 286 m2
Area of the canal = 360 – 286 = 74 m2
Cost of constructing 1 m2 canal = ₹ 12
Cost of the constructing 74 m2 canal = ₹ 12 × 74
= ₹ 888
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