Question

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

Answer 1

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

`(AB)/(AD)=(EH)/(EF)`

`(8)/(4)=(k)/(6)`

cross multiplying

8 x 6 = 4 x k

48 = 4k

4k = 48

Divide both sides by 4

k = 48/4

k = 12