Question

PLZ HELP ASAP GEOMETRY

Josh is building an enclosure with recycled cardboard for his collection of model cars. His design is as shown below:



What is the length of side BC in inches?
a. 14b. 42c. 49 d. 63

Answer 1

Option D
`BC=63\ in`

Explanation:

we know that

If two figures are similar, then the ratio of its corresponding sides is proportional and this ratio is called the scale factor

In this problem

`(DC)/(ML)=(BC)/(KL)`

substitute the given values and solve for BC

`(56)/(8)=(BC)/(9)`

`BC=56(9)/8\\BC=63\ in`