The perimeter of a rectangular grassy plot is 46m and its breadth is 15 m. Find the length and area of the plot
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›»› The length of a rectangular grassy plot is 8 m and area of
Given :
- The perimeter of a rectangular grassy plot is 46 m and its breadth is 15 m.
To Find :
- The length of a rectangular grassy plot and the area of a rectangular grassy plot.
Solution :
Let us assume that, the length of a rectangular grassy plot is l m.
As we know that
→ Perimeter of rectangle = 2(l + b)
→ 46 = 2(l + 15)
→ 46 = 2 * l + 2 * 15
→ 46 = 2l + 2 * 15
→ 46 = 2l + 30
→ 46 - 30 = 2l
→ 16 = 2l
→ l = 16/2
→ l = 8
The length of a rectangular grassy plot is 8 m.
Now,
As we know that
→ Area of rectangle = length * breadth
→ Area of rectangle = 8 * 15
→ Area of rectangle = 120
The area of a rectangular grassy plot is 120 m².
Hence, the length of a rectangular grassy plot is 8 m and area of a rectangular grassy plot ia 120 m².
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