Question
Download Solution PDFSultan bought a new plotwhich need to be fenced immediately. Due to this, both the length and width of the rectangular area have decreased by 9%. Find the percentage decrease in the area.
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven:
Length and width of the rectangular area decreased by 9%.
Formula used:
Percentage decrease in area = Decrease in area / Original area × 100
New area = (Original length × 0.91) × (Original width × 0.91)
Decrease in area = Original area - New area
Calculation:
Original area = Length × Width
New area = (Length × 0.91) × (Width × 0.91)
⇒ New area = Length × Width × 0.91 × 0.91
⇒ New area = Original area × 0.91 × 0.91
⇒ New area = Original area × 0.8281
Decrease in area = Original area - New area
⇒ Decrease in area = Original area - (Original area × 0.8281)
⇒ Decrease in area = Original area × (1 - 0.8281)
⇒ Decrease in area = Original area × 0.1719
Percentage decrease in area = (Decrease in area / Original area) × 100
⇒ Percentage decrease in area = (0.1719 / 1) × 100
⇒ Percentage decrease in area = 17.19%
∴ The correct answer is option (2).
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