In the figure drawn below, its dimensions are given in meters. If $C = 3,$ find the total cost to fence the garden if the cost of fencing is $7 / m^{2} .$

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Solution

$(a) L e t u s N a m e t h e f i g u r e a s A B P Q C D E F . I t i s c l e a r f r o m t h e f i g u r e & t h e g i v e n d a t a t h a t A B, P Q & C D a r e p a r a l l e l t o E F a n d t h e w i d t h o f t h e f i g u r e = E F . ∴ A B + P Q + C D = E F = 5 + c . . . . . . . . . . . . (i) N o w A F = 6 m, B P = c m, C Q = 9 m, D E = 12 m & E F = (5 + c) m . S o t h e p e r i m e t e r P = A F + A B + B P + P Q + C Q + C D + D E + E F ⟹ P = A F + B P + C Q + D E + E F + (A B + P Q + C D) ⟹ P = (6 + c + 9 + 12 + 5 + c) m + (5 + c) m = (37 + 3 c) m . (b) i f c = 3 t h e n P = (37 + 3 \times 3) m = 46 m . t h e c o s t o f f e n c i n g @ R s 7 / m i s R s 46 \times 7 = R s 322. A n s - T h e c o s t o f f e n c i n g i s R s 322$

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In the figure drawn below, its dimensions are given in meters. If C=3, find the total cost to fence the garden if the cost of fencing is 7/m2.

In the figure drawn below, its dimensions are given in meters. If $C = 3,$ find the total cost to fence the garden if the cost of fencing is $7 / m^{2} .$