8. Find the cost of cementing the crossroads in figure (b) and figure (c) part of question 7, if the cost
per cm2 is 7.80.
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Question 5: A path of 1m width is built along the border and inside a square garden of side 30m. Find:
(i) the area of the path
(ii) the cost of planting grass in the remaining portion of the garden at the rate of Rs 40 per m2.
rectangle
Solution: Given, side of the garden = 30m, Width of the path inside the garden = 1m, Cost of the planting of grass = Rs 40 per m2.
Therefore, side of the garden without path = 30m — 1m — 1m = 28m
Area of square = Side2
Area of square garden
=
30
2
=
900
m2
Area of garden without path
=
28
2
=
784
m2
Area of path = Area of garden — Area of garden without path = 900m2 —784m2 = 116 m2
Cost of planting grass in the remaining portion of garden = Rate × Area
=
R
s
.
40
×
784
=
R
s
.
31360
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