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The width of a rectangular piece of land is 1/4 th of its length. If the perimeter of the piece of land is 320 m its length is?
  • a)
    140 m
  • b)
    128 m
  • c)
    120 m
  • d)
    156 m
  • e)
    124 m
Correct answer is option 'B'. Can you explain this answer?
Most Upvoted Answer
The width of a rectangular piece of land is 1/4 th of its length. If t...
length = l ; breadth = l/4
2(l + b) = 320
2(l + l/4) = 320
l = 320 * 4/10 = 128m
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Community Answer
The width of a rectangular piece of land is 1/4 th of its length. If t...
Given information:
- The width of the rectangular piece of land is 1/4 th of its length.
- The perimeter of the piece of land is 320 m.

Let's assume the length of the piece of land as "L" meters.
According to the given information, the width of the piece of land will be 1/4 th of its length, which means the width will be (1/4)L meters.

To find the perimeter of the piece of land, we need to add the lengths of all four sides. The perimeter is given as 320 m, so we can write the equation as:

Perimeter = 2(length + width)

320 = 2(L + (1/4)L)

Simplifying the equation:

320 = 2(5/4)L

Dividing both sides by 2:

160 = (5/4)L

To solve for L, we can multiply both sides by 4/5:

(4/5)(160) = L

Simplifying:

128 = L

Therefore, the length of the rectangular piece of land is 128 meters.

Hence, the correct answer is option B) 128 m.
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The width of a rectangular piece of land is 1/4 th of its length. If the perimeter of the piece of land is 320 m its length is?a)140 mb)128 mc)120 md)156 me)124 mCorrect answer is option 'B'. Can you explain this answer?
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