find the area of a rectangular plot on side of which measure 35 m and the diagonal is 37 m length and the breadth of a rectangular field are in the ratio 3 ratio 2 if the area of the field is 3456 m square find the cost of fencing @ rupees 60 per metre square
Answers
☯Dear User! ☯
☯ Question: ☯
Find the area of a rectangular plot, one side of which measures 35 m and the diagonal is 37 m.
✡Answer: Area of Rectangular Plot = 35×12 = 420 m² !
☯ Method of Solution: ☯
In this Question, It is given that one side of which measures 35 m and the diagonal is 37 m.
Let the other Sides (as Length) of Rectangular plot be x metres!
We have, Breadth of Rectangular Plot is (35 metres) and it's Diagonal is (37 Metres)!
We know that , Diagonal² = a²+b²
✡Substitute the Obtained Value in Formula!✡
Now, According to the Question's Statement!
✡ Statement: Find the area of a rectangular plot ?
Diagonal² = a²+b²
➡ (37)² = (35)² +x²
➡x²= 37²- 35²
➡x² = (37+35) (37-35)
➡x²= 72×2
➡x²=144
➡x = 12 m
Then, Area of Rectangular Plot:
➡Area of Rectangular Plot = length × Breadth
➡Area of Rectangular Plot = 35×12 = 420 m²
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☯ Question: ☯
The length and breadth of a rectangular field are in the ratio 3:2. If the area of the field is 3456 m2. Find the cost of fencing it at Rs. 60 per m.
⏪ Answer: ⏪
Required Cost of Fencing the field at 60 m² is Rs 14,400.
☯ Method of Solution: ☯
In this Question, it is given that, The length and breadth of a rectangular field are in the ratio 3:2. If the area of the field is 3456 m2.
Let the sides of Rectangular field be x Metres!
✡ Length of Rectangular Field = 3x metres
✡ Breadth of Rectangular Field = 2x metres
➡Area of Rectangular Field = Rs 3456 ➡
Now, According to the Question's Statement!
➡Area of Rectangular Field = Rs 3456
➡Length × Breadth = 3456
➡(3x)(2x)=3456
➡6x²=3456
➡x² = 576
➡•°• x= 24 metre
Now, Considering on Question Statement!
✡ Length of Rectangular Field = 3x metres
Length of Rectangular Field = 3(24) metres
➡Length of Rectangular Field = 72 metres ➡
✡ Breadth of Rectangular Field = 2x metres
Breadth of Rectangular Field = 2(24) metres
➡Breadth of Rectangular Field = 48metres ➡
Now, According to the Question's Statement!
Statement: We need to Find the perimeter for fencing !
Perimeter of Rectangle = 2(Length×Breadth)
➡ Perimeter=2(72+48)
➡ Perimeter=2(120)
➡ Perimeter=2×120
➡ Perimeter=240 metres
Now, We need to Find the cost of fencing the field at RS 60 m². !
Cost of Fencing the field at 60 m² = 240×60
Cost of Fencing the field at 60 m² =14,400
Hence, Required Cost of Fencing the field at 60 m² is Rs 14,400.
Area of Rectangular Field =3456 m²
let length be 3x
Let breadth be2x.
We know that Formula of Area Of Rectangle!.
area=l × b
3456=3x×2x
3456=6x²
x²=3456/6
x ²=576
Then,
x=24m
Dimensions of Rectangle;
3x=24×3=72m
2x=24×2=48m
Perimeter=2(l+b)
Perimeter=2(72+48)
Perimeter=2(120)
Perimeter=2*120=240
Perimeter=240m
Cost = 240 × 60
Cost = 14,400
Hence, Required Cost price be (14,400)