Answer:
The dimensions of bigger rectangle is [tex]l_1=12\ in.,\ w_1=4\ in.[/tex]
The area of bigger rectangle is [tex]A_1=48\ in.[/tex]
Step-by-step explanation:
Consider the provided information.
It is given that the smaller rectangle was scaled by a factor of 2 to produce the larger figure.
Scaled by 2 means we need to multiply the dimension of smaller rectangle by 2 and that will gives us the dimension of the bigger rectangle.
The dimensions of smaller rectangle are:
[tex]l=6\ in.\\w=2\ in.[/tex]
Multiply the dimensions by 2 gives us the dimension of the bigger rectangle.
[tex]l_1=6\ in.\times 2=12\ in.\\w_1=2\ in.\times 2=4\ in.[/tex]
Hence, the dimensions are [tex]l_1=12\ in.,\ w_1=4\ in.[/tex]
The area of the rectangle is:
[tex]A_1=l_1\times w_1=12\times 4=48\ in.[/tex]
Hence, the area of bigger rectangle is [tex]A_1=48\ in.[/tex]
