Question

The front of Rosie's house is similar in shape to the front of Sparky's doghouse. The base of the doghouse is 6 feet and the height is 5 feet. If the height of Rosie's house is 27.5 feet, what is the length of its base? If necessary, round your answer to the nearest tenth.

1. 22.9 ft pick and awnser!! :)

2. 28.5 ft

3. 33 ft

4. 30 ft

Answer 1

33feet

Explanation:

If the base of the doghouse is 6 feet and the height is 5 feet, we can write;

6 feet base = 5 feet height

To get the length of the base if the height is 27.5feet

x feet base = 27.5 feet high

Divide both expressions

6/x = 5/27.5

5x = 6 * 27.5

5x = 165

x = 165/5

x = 33ft

Hence the length of its base will be 33feet