A rectangular plot in Pune has a length that is twice its breadth. A path makes its area 50 sq m where area = breadth x length. Let breadth = x. The relation 2x^2 = 50 leads to which value of breadth (in m)?

Question

Accepted Answer

5. Length = 2x, area = x*(2x) = 2x^2 = 50, so x^2 = 25, i.e. x^2 - 25 = 0 = (x - 5)(x + 5). Positive root, breadth = 5 m.

A rectangular plot in Pune has a length that is twice its breadth. A path makes its area 50 sq m where area = breadth $x$ length.
Let breadth = $x$ . The relation $2 x^{2} = 50$ leads to which value of breadth (in m)?

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A rectangular plot in Pune has a length that is twice its breadth. A path makes its area 50 sq m where area = breadth x length.Let breadth = x. The relation 2x2=50 leads to which value of breadth (in m)?

Step-by-Step Solution

Master this chapter in 30 minutes a day.

More Class 10 Roots by Factorisation practice

A rectangular plot in Pune has a length that is twice its breadth. A path makes its area 50 sq m where area = breadth $x$ length.
Let breadth = $x$ . The relation $2 x^{2} = 50$ leads to which value of breadth (in m)?