Question

Tick (✓) the correct answer:
In a square ABCD, AB = (2x + 3) cm and BC = (3x − 5) cm. Then, the value of x is
(a) 4
(b) 5
(c) 6
(d) 8

Answer 1

$$\begin{gathered} \left(\mathrm{d}\right)8 \\ A\mathrm{ll}\mathrm{the}\mathrm{sides}\mathrm{of}\mathrm{a}\mathrm{square}\mathrm{are}\mathrm{equal}. \\ \therefore AB=BC \\ \Rightarrow 2x+3=3x-5 \\ \Rightarrow 3+5=3x-2x \\ \Rightarrow 8=x \\ \mathrm{Therefore},\mathrm{the}\mathrm{value}\mathrm{of}x\mathrm{is}8. \end{gathered}$$