2 rectangles are similar. One has a length of 10 cm and a width of 8 cm and the other has a width of 7 cm. Find the lenfth of the second rectangle. Round to the nearest tenth if necessary.
I think the answer is 8.8 cm. Is this right?
To determine the length of the second rectangle, you can use the similarity property, which states that corresponding sides of similar figures are proportional.
Let's set up a proportion using the dimensions of the two rectangles:
Length of first rectangle / Width of first rectangle = Length of second rectangle / Width of second rectangle
Plugging in the given values:
10 cm / 8 cm = Length of second rectangle / 7 cm
To solve for the length of the second rectangle, you can cross-multiply and then divide:
(10 cm * 7 cm) / 8 cm = Length of second rectangle
70 cm / 8 cm = Length of second rectangle
The length of the second rectangle is approximately 8.8 cm. So, your answer is correct.