A rectangular field has sides $(3x-5)$ m and $(x-10)$ m. Its area is at most $200$ m$^2$. Fi

Question

A rectangular field has sides $(3x-5)$ m and $(x-10)$ m. Its area is at most $200$ m$^2$. Find the range of values of $x$ that satisfies the above sides and area conditions.[4] Justify whether a fence of $98$ m is enough to enclose the field[3]

Accepted Answer

(a) $10<x\leq15$ (b) Yes. Since $10<x\leq15$ implies $x\leq16$, a fence of $98\text{ m}$ is enough.

Quadratic Functions, Equations and Inequalities - Quadratic Inequalities

Quadratic Functions, Equations and Inequalities - Quadratic Inequalities

Solution:

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