IDNLearn.com is designed to help you find reliable answers to any question you have. Our community is here to provide the comprehensive and accurate answers you need to make informed decisions.

V ABCD - EFGH. What is the value of k? Your answer may be exact or rounded to the nearest tenth. Note: Images are not to scale. A E 4 mm k 8 mm B 6 mm H D 6 mm F 8 mm 4 mm C С

Sagot :

Since rectangles ABCD and EFGH are similar, we can take the ratios of the corresponding sides of the rectangles

[tex]\frac{AB}{AD}=\frac{EH}{EF}[/tex]

[tex]\frac{8}{4}=\frac{k}{6}[/tex]

cross multiplying

8 x 6 = 4 x k

48 = 4k

4k = 48

Divide both sides by 4

k = 48/4

k = 12