Answer:
[tex]x=24m[/tex]
Step-by-step explanation:
The two rectangles are similar, so using the property of similar figures :
[tex]\frac{4}{8} =\frac{12}{x}[/tex]
We have to find the value of 'x' i.e length of the big rectangle:
So, solving the fraction for the value of 'x'
[tex]\frac{4}{8} =\frac{12}{x}[/tex]
On cross multiplication:
[tex]4(x)=12(8)\\\\4x=96\\\\[/tex]
Dividing by '4' both sides:
[tex]x=\frac{96}{4}[/tex]
[tex]x=24m[/tex]
The Length of the bigger rectangle is 24 meters.
