10. The area of a rectangular field is 465 m² and its length is 31 m. Find the
a) breadth of the field - 15 metre
b) cost of fencing it at the rate of $15.50 per metre. 1426 F By
Answers
Answer:
area=length x breadth
465=31*b
b=465/31=15m
cost of fencing
465*15.5=7207.5rupees
Given
Area of rectangular field ⇒ 465 m²
Length of rectangular field ⇒ 31 m
Breadth of rectangular field ⇒ x
Cost of fencing per metre ⇒ $15.50
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To Find
(i) The breadth of the rectangular field
(ii) Cost of fencing at the rate of $15.50 per metre.
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Solution
(i) Area of rectangular field ⇒ 465 m²
Area of rectangle ⇒ Length × Breadth
Length ⇒ 31 m
Breadth ⇒ 465 ÷ 31 = 15 m
∴ The breadth of the rectangular field is 15 m
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(ii) Area of rectangular field ⇒ 465 m²
Length ⇒ 31 m
Breadth ⇒ 15 m
Perimeter of rectangle ⇒ 2 × (Length + Breadth)
Perimeter of rectangular field ⇒ 2 × (31 + 15)
⇒ 2 × 46
⇒ 92 m
Cost of fencing per metre ⇒ $15.50
Cost of fencing the entire rectangular field ⇒ 92 × 15.50
⇒ $1426
∴ The cost of fencing the rectangular field would be $1426
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