Answer: [tex]200cm^{2}[/tex]
Step-by-step explanation:
To double the dimensions, you must multiply both the length and width by 2, so instead of just [tex]l*w=a[/tex], you have [tex]2l*2w=b[/tex], which can be simplified even further to [tex]2*2*l*w=b[/tex]
Now, multiply the 2s together to get 4, making the equation [tex]4lw=b[/tex]. Since [tex]lw[/tex] is [tex]a[/tex], and [tex]b[/tex] is 4 times as much as [tex]a[/tex], you just need to multiply the original area by 4 to get the new area.
