Question

the area of the rectangular plot is 480m² the length(in metres) of the plot is 4 more than its breadth find the length and breadth of the plot also find the perimeter of the plot
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Answer 1

Answer:

the breadth of rectangular plot (b) be ’x’ m. Then the length of th plot is one more than twice its breadth, ∴ Length (l)= 2x + 1 m. But Length × Breadth = Area of rectangle l × b = A ∴ x × (2x + 1) = 528 sq.m. 2x2 + x = 528 ∴ 2x2 + x – 528 = 0 is the required equation. Now, we have to find out the value of ‘x’ : 2x2 + x – 528 = 0 2x2 – 32x + 33x – 528 = 0 2x(x – 16) + 33(x – 16) = 0 (x – 16) (2x + 33) = 0 If x – 16 = 0, then x = 16 If 2x + 33 = 0, then x = -33/2 ∴ Breadth (b) = 16 m. Length (l) = (2x + 1) = 2(16) + 1 = 32 + 1 = 33m ∴ Length (l) = 33 m Breadth (b) = 16 m.Read more on Sarthaks.com - https://www.sarthaks.com/662510/the-area-rectangular-plot-528-the-length-the-plot-in-metres-one-more-than-twice-its-breadth

Step-by-step explanation:

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