Question Number 191325 by Mingma last updated on 23/Apr/23
Answered by HeferH last updated on 23/Apr/23
$$\mathrm{16}\:=\:\mathrm{2}×\mathrm{a}\left(\mathrm{a}+\mathrm{b}\right) \\ $$$$\mathrm{Yellow}\:=\:\mathrm{8}\: \\ $$
Commented by Mingma last updated on 23/Apr/23
How?
Commented by Mingma last updated on 23/Apr/23
Can you explain it well, sir!
Answered by mr W last updated on 23/Apr/23
![rectangle a×b square b×b b^2 +[a^2 −(b−a)^2 ]=4^2 2ab=4^2 ⇒ab=(4^2 /2)=8 ✓](Q191341.png)
$${rectangle}\:{a}×{b} \\ $$$${square}\:{b}×{b} \\ $$$${b}^{\mathrm{2}} +\left[{a}^{\mathrm{2}} −\left({b}−{a}\right)^{\mathrm{2}} \right]=\mathrm{4}^{\mathrm{2}} \\ $$$$\mathrm{2}{ab}=\mathrm{4}^{\mathrm{2}} \\ $$$$\Rightarrow{ab}=\frac{\mathrm{4}^{\mathrm{2}} }{\mathrm{2}}=\mathrm{8}\:\checkmark \\ $$
Commented by Mingma last updated on 23/Apr/23
Excellent!