Question

Is it possible to construct a rectangular field with perimeter 48 m and area 150 m2 ? Justify your answer.

Answer 1

Answer:

yes possible

Step-by-step explanation:

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Answer 2

Answer:

Let take length be X and breath be Y

Perimeter is

$2(x + y) = 48$

Area is

$xy = 150$

Let take value of Y as

$\frac{150}{x} = y$

Put value of Y in first equation

$\frac{150}{x} + x = 24$

$150 + x {}^{2} = 24x$

$x {}^{2} - 24x + 150$

This equation does not real roots.

Therefore,

Rectangle cannot be possible