Answer:
21 cm
Step-by-step explanation:
First, we can solve for the side length of each square.
We can see that 5 square side lengths make up the width of the rectangle, which we know to be 15 cm. Therefore, we can solve for the square's side length ([tex]s[/tex]) with the equation:
[tex]5s = 15\text{ cm}[/tex]
↓ dividing both sides by 5
[tex]s = 3\text{ cm}[/tex]
Next, we can see that 7 square side lengths make up the length. So, we can solve for the rectangle's length with the equation:
[tex]l = 7s[/tex]
↓ plugging in [tex]s=3\text{ cm}[/tex]
[tex]l = 7(3\text{ cm})[/tex]
[tex]\boxed{l=21\text{ cm}}[/tex]
So, the length of the rectangle is 21 cm.
