Question

Rene's rectangular house measures 40 feet by 104 feet. Rene's bedroom is similar in shape to Rene's house. The ratio of the dimensions of Rene's bedroom to the dimensions of her house is 1:8. What are the dimensions of Rene's bedroom? (Hint: set up 2 proportions, one for length and one for width.)

A) 5 feet by 13 feet
B) 8 feet by 26 feet
C) 10 feet by 40 feet
D) None of the above

Answer 1

The dimensions of Rene's bedroom are 5 feet by 13 feet.

Step-by-step explanation:

To find the dimensions of Rene's bedroom, we can set up two proportions, one for length and one for width. Let's call the length of Rene's bedroom x and the width y. According to the given information, the ratio of the length of Rene's bedroom to the length of her house is 1:8. So, we can write the proportion:

x/40 = 1/8

Cross-multiplying, we have 8x = 40, and dividing both sides by 8, we find x = 5.

Similarly, the ratio of the width of Rene's bedroom to the width of her house is also 1:8. So, we can write the proportion:

y/104 = 1/8

Cross-multiplying, we have 8y = 104, and dividing both sides by 8, we find y = 13.

Therefore, the dimensions of Rene's bedroom are 5 feet by 13 feet.