Question

Two rectangles are similar. One has a length of 11 cm and a width of 10 cm, and the other has a width of 7 cm. Find the length of the second rectangle. Round to the nearest tenth if necessary.
A. 8.9 cm
B. 6.4 cm
C. 7.7 cm
D. 5.8 cm

Answer 1

7.7 cm Because the sides of similar figures are in direct proportion to each other

Answer 2

Answer:  The correct option is

(C) 7.7 cm.

Step-by-step explanation:  Given that two rectangles are similar. One has a length of 11 cm and a width of 10 cm, and the other has a width of 7 cm.

We are to find the length of the second rectangle.

Let l represents the length of the second rectangle.

We know that the corresponding sides of two similar rectangles are proportional.

So, we must have

$\dfrac{11}{l}=\dfrac{10}{7}\\\\\Rightarrow 10l=77\\\\\Rightarrow l=\dfrac{77}{10}\\\\\Rightarrow l=7.7.$

Thus, the required length of the second rectangle is 7.7 cm.

Option (C) is CORRECT.