A rectangular construction site is enclosed on three sides using 60 m of fencing. The remaining side is
formed by an existing wall. What dimensions enclose 450 m² of land?

Respuesta :

The Width is 15m and Length is 30m.

What is Area of Rectangle?

Area of rectangle is the region occupied by a rectangle within its four sides or boundaries. The area of a rectangle depends on its sides.

Here, let the width of the rectangle be x m.

         and the length be 60-2x m

Area of rectangle = 450 m²

Now, Area of rectangle = L X W

               450 = (x) X (60-2x)

               450 = 60x - 2x²

               2x² - 60x + 450 = 0

                x² - 30x + 225 = 0

               x² - 15x - 15x + 225 = 0

               (x-15)(x-15) = 0

   So, x = 15m.

width = 60 - 2x = 60 - 2X15 = 30 m

Thus, the Width is 15m and Length is 30m.

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