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A rectangular field is 50 meters long and 30 meters wide. What is the percentage

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Question: A rectangular field is 50 meters long and 30 meters wide. What is the percentage increase in area if the length is increased by 20%?

Options:

  1. 20
  2. 30
  3. 25
  4. 15

Correct Answer: 20

Solution: 

Original area = 50 × 30 = 1500 sq. meters; New length = 50 × 1.2 = 60 meters; New area = 60 × 30 = 1800 sq. meters; Percentage increase = ((1800 - 1500) / 1500) × 100 = 20%.

A rectangular field is 50 meters long and 30 meters wide. What is the percentage

Practice Questions

Q1
A rectangular field is 50 meters long and 30 meters wide. What is the percentage increase in area if the length is increased by 20%?
  1. 20
  2. 30
  3. 25
  4. 15

Questions & Step-by-Step Solutions

A rectangular field is 50 meters long and 30 meters wide. What is the percentage increase in area if the length is increased by 20%?
  • Step 1: Calculate the original area of the rectangular field by multiplying the length and width. The original area is 50 meters (length) × 30 meters (width) = 1500 square meters.
  • Step 2: Determine the new length after increasing the original length by 20%. To do this, multiply the original length (50 meters) by 1.2 (which represents a 20% increase). The new length is 50 × 1.2 = 60 meters.
  • Step 3: Calculate the new area of the rectangular field using the new length and the original width. The new area is 60 meters (new length) × 30 meters (width) = 1800 square meters.
  • Step 4: Find the increase in area by subtracting the original area from the new area. The increase in area is 1800 square meters (new area) - 1500 square meters (original area) = 300 square meters.
  • Step 5: Calculate the percentage increase in area by dividing the increase in area by the original area and then multiplying by 100. The percentage increase is (300 / 1500) × 100 = 20%.
  • Area Calculation – Understanding how to calculate the area of a rectangle by multiplying length and width.
  • Percentage Increase – Calculating the percentage increase based on the change in area.
  • Proportional Changes – Understanding how changes in dimensions affect the overall area.
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