Question

Given that ABCD ~ LMNP, find the length of CD when CD = 4x + 3.

A) 4x + 3
B) 8x + 6
C) 12x + 9
D) 16x + 12

Answer 1

To find the length of CD when CD = 4x + 3 in the similar figures ABCD and LMNP, set up a proportion using the corresponding sides.

Step-by-step explanation:

To find the length of CD when CD = 4x + 3 in the similar figures ABCD and LMNP, we can set up a proportion using the corresponding sides. Since ABCD ~ LMNP, the corresponding sides are in the same ratio.

So we have CD/AB = NP/LM.

Substituting the value of CD = 4x + 3, we get (4x + 3)/AB = NP/LM.

From here, we can cross-multiply and solve for AB. AB = (4x + 3) * LM / NP.