A rectangular field is dimensions 30m and 15.5m. two path run parallel to the sides of the rectangle through the centre of the field. The width of the longer path is 1.4m and that the shorter path is 2m.find the area of the path ,and the cost of cementing the path at the rate of ₹70 per square metre
Answers
area of the path = 70.2 m²
cost of cementing the path = Rs. 4914
Step-by-step explanation:
dimensions of A rectangular field 30 m and 15.5 m
The width of the longer path is 1.4 m and that the shorter path is 2 m
area of the rectangle ABCD = length × breadth
= 30×15.5
= 465 m²
length of the longer path = 30 m
breadth of the longer path = 1.4 m
area of the longer path EFGH= length × breadth
= 30×1.4
= 42 m²
length of the shorter path = 15.5 m
breadth of the shorter path = 2 m
area of the shorter path IJKL=length × breadth
= 15.5 ×2
= 31 m²
area of the common path MNOP = 1.4×2= 2.8 m²
area of the path = (area of the longer path + area of the shorter path )- area of the common path
area of the path =(42+31)- 2.8
= 73-2.8
= 70.2 m²
cost of cementing the path 1 m² = Rs. 70
cost of cementing the path 70.2 m² = 70.2×70 = Rs. 4914
hence, area of the path = 70.2 m²
cost of cementing the path = Rs. 4914
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https://brainly.in/question/7527359
Answer:
Step-by-step explanation:
area of the path = 70.2 m²
cost of cementing the path = Rs. 4914
Step-by-step explanation:
dimensions of A rectangular field 30 m and 15.5 m
The width of the longer path is 1.4 m and that the shorter path is 2 m
area of the rectangle ABCD = length × breadth
= 30×15.5
= 465 m²
length of the longer path = 30 m
breadth of the longer path = 1.4 m
area of the longer path EFGH= length × breadth
= 30×1.4
= 42 m²
length of the shorter path = 15.5 m
breadth of the shorter path = 2 m
area of the shorter path IJKL=length × breadth
= 15.5 ×2
= 31 m²
area of the common path MNOP = 1.4×2= 2.8 m²
area of the path = (area of the longer path + area of the shorter path )- area of the common path
area of the path =(42+31)- 2.8
= 73-2.8
= 70.2 m²
cost of cementing the p#Learn more:
brainly.in/question/7527359
ath 1 m² = Rs. 70
cost of cementing the path 70.2 m² = 70.2×70 = Rs. 4914
hence, area of the path = 70.2 m²
cost of cementing the path = Rs. 4914