A rectangular plot has a concrete path running in the middle of the plot parallel to the breadth of the plot. The rest of the plot is used as a lawn, which has an area of 240m2. If the width of . the path is 3m and the length of the plot is greater than its breadth by 2m, what is the area of the rectangular plot? (Geometry (Rectangle))

Shohan

4 views

2025-01-04 04:42

1 Answers

Shohan

Let us depict the rectangular plot according to question

Let, the width of the plot is x meter

$∴$ Length of the plot is (x + 2) meter

According to question

3x + 240 = x(x + 2)

=3x+240=x²+2x

=x²-x-240=0

=x² - 16x + 15x - 240 = 0

=x(x-16)+15(x-16)=0

=(x - 16)(x + 15) = 0

=Here r - 16 = 0

$∴$ x = 16

x + 15 = 0

⇒x=-15 is not acceptable

$∴$ Area of the plot = x(x+2)m² = 16(16+2)m² = 16 x 18=288m² (answer).

4 views Answered 2024-12-14 13:31

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