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The width of a rectangular piece of land is 1/3 rd of its length. If the perimeter of the piece of land is 320m its length is?
- a)140 m
- b)128 m
- c)120 m
- d)156 m
- e)124 m
Correct answer is option 'C'. Can you explain this answer?
Most Upvoted Answer
The width of a rectangular piece of land is 1/3 rd of its length. If t...
length = l ; breadth = l/3
2(l + b) = 320
2(l + l/3) = 320
l = 320 * 3/8 = 120m
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The width of a rectangular piece of land is 1/3 rd of its length. If t...
To solve this problem, we can start by assigning variables to the given information. Let's say the length of the rectangular piece of land is "L" and the width is "W".
Given:
- The width (W) is 1/3 of the length (L). We can express this as W = (1/3)L.
- The perimeter of the piece of land is 320m.
We know that the perimeter of a rectangle is the sum of all its sides. In this case, the perimeter is twice the sum of the length and the width.
Perimeter of the rectangle = 2(L + W)
Substituting the value of W from the first equation, we get:
Perimeter of the rectangle = 2(L + (1/3)L)
Simplifying this equation, we have:
320 = 2(L + (1/3)L)
To solve for L, we can start by simplifying the equation further:
320 = 2(4/3)L
320 = (8/3)L
To isolate L, we can multiply both sides of the equation by 3/8:
(3/8) * 320 = L
120 = L
Therefore, the length of the rectangular piece of land is 120m. So, the correct answer is option (c) 120m.
Given:
- The width (W) is 1/3 of the length (L). We can express this as W = (1/3)L.
- The perimeter of the piece of land is 320m.
We know that the perimeter of a rectangle is the sum of all its sides. In this case, the perimeter is twice the sum of the length and the width.
Perimeter of the rectangle = 2(L + W)
Substituting the value of W from the first equation, we get:
Perimeter of the rectangle = 2(L + (1/3)L)
Simplifying this equation, we have:
320 = 2(L + (1/3)L)
To solve for L, we can start by simplifying the equation further:
320 = 2(4/3)L
320 = (8/3)L
To isolate L, we can multiply both sides of the equation by 3/8:
(3/8) * 320 = L
120 = L
Therefore, the length of the rectangular piece of land is 120m. So, the correct answer is option (c) 120m.
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The width of a rectangular piece of land is 1/3 rd of its length. If the perimeter of the piece of land is 320m its length is?a)140 mb)128 mc)120 md)156 me)124 mCorrect answer is option 'C'. Can you explain this answer?
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