Question

The area of the dining room at thomas jefferson's home in monticello is about 342 square feet. If the approximate length of the one side is a 2-digit prime number, what are the approximate dimensions of the room?

Answer 1

Tham khảo
length = 19 feets and breadth = 18 feets
Given, area of the dining room = 342 square feet.
We know that, area of rectangle = length x breadth
Implies, the length and breadth are the factors of 342
Prime factorisation of 342 = 2 x 3 x 3 x 19
Given that the approximate length of one side is a prime number less than 25.
The nearest prime number less than 25 and a factor of 342 is 19.
Therefore, the approximate length of the room = 19 feet
Hence, breadth =\(\dfrac{area}{length}\)=\(\dfrac{342}{19}\)=18 feet