Q112 of 131 Page 226

Use the Fig. 9.57 showing the layout of a farm house:


A. What is the area of land used to grow hay?


B. It costs ₹ 91 per m2 to fertilise the vegetable garden. What is the total cost?


C. A fence is to be enclosed around the house. The dimensions of the house are 18.7 m × 12.6 m. At least how many metres of fencing are needed?


D. Each banana tree required 1.25 m2 of ground space. How many banana trees can there be in the orchard?

A. Area of land used to grow hay = 17.8 × 10.6 = 188.68 m2


B. Area of vegetable garden = 49 × 15.2 = 744.8 m2


Cost of fertilizing 1 m2 of vegetable garden = Rs. 91


∴ Cost of fertilizing 744.8 m2 of vegetable garden = 91 × 744.8 = Rs. 67,776.8


C. Perimeter of the house = 2 × (l + b) = 2 × (18.7 + 12.6) = 2 × 31.3 = 62.6 m


D. Area of the orchard = 20 × 15.7 = 314 m2


No. of banana trees that can be planted in 1.25 m2 of ground space =1


Hence, No. of banana trees that can be planted in 314 m2 of ground space = = 251.25


i.e. ,251 banana trees can be planted in the orchard.


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Study the layout given below in Fig. 9.58 and answer the questions:


A. Write an expression for the total area covered by both the bedrooms and the kitchen.


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E. If the floor area of each bedroom is 35 m2, then find x.

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