Question

The quadrilaterals ABCD and JKLM are similar. Find the length x of KL. A B 3 B C 6 C D 5 A D 4 J K 4.2 J M 5.6 M L 7 J K x

A. 4.0
B. 4.8
C. 5.2
D. 6.0

Answer 1

To find the length x of KL in quadrilaterals ABCD and JKLM, we can use the scale factor between the corresponding sides. The scale factor is 0.7143, and plugging in the values, we find that x = 7.

Step-by-step explanation:

To find the length x of KL in quadrilaterals ABCD and JKLM, we can start by finding the scale factor between the two quadrilaterals. The scale factor is the ratio of corresponding side lengths. In this case, the ratio of AB to JK gives us:

AB / JK = 3 / 4.2 = 0.7143

Next, we can use the scale factor to find the length x. Since AB and JK are corresponding sides, we can set up the following proportion:

AB / JK = CD / LM

Plugging in the known values, we get:

0.7143 = 5 / x

Solving for x:

x = 5 / 0.7143 = 7

So the length x of KL is 7.