the length and breadth of a rectangular piece of land are in the ratio of 5:3. if the total cost of fencing it at rate of Rs. 24 per meter is Rs. 9600 find its area
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ANSWER:-✔⤵️⤵️⤵️✅
For fencing field
perimeter is required
then,Cost for 24per metre=Rs9600
now cost for 1 metre=9600/24=Rs400
So perimeter=400m
Now, 2(5x+3x)=400
5x+3x=200
8x=200
x=25
So sides are (25)3=75 and 25(5)=125
Now, Area of rectangle=l×b
=125×75=9375
HOPE IT HELPS YOU✨✨✌✌✔✅
For fencing field
perimeter is required
then,Cost for 24per metre=Rs9600
now cost for 1 metre=9600/24=Rs400
So perimeter=400m
Now, 2(5x+3x)=400
5x+3x=200
8x=200
x=25
So sides are (25)3=75 and 25(5)=125
Now, Area of rectangle=l×b
=125×75=9375
HOPE IT HELPS YOU✨✨✌✌✔✅
Answered by
11
Length and the breadth of a rectangle are of the ratio 5:3
Cost of fencing is ₹24 per m
Total cost = 9000
Length & Breadth of the rectangle
Solution
Let,
Length = 5x
Breadth = 3x
✭ Perimeter
→ Perimeter = Total Cost/Cost per m
→ Perimeter = 9000/24
→ Perimeter = 400 m
✭ Finding x
→ Perimeter = 2(l+b)
→ 400 = 2(5x+3x)
→ 400/2 = 8x
→ 200 = 8x
→ 200/8 = x
→ x = 25
✭ Length and Breadth
→ Length = 5x = 5×25 = 125 m
→ Breadth = 3x = 3×25 = 75 m
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