Question

The area of a rectangular noticeboard is
$\frac{18}{15}$ sq ft. Sam, Eva, and John estimate its length and width as follows:.


Sam: Length $=\frac{1}{3}ft,$ width $=\frac{9}{5}ft$
Eva: Length $=\frac{2}{3}ft,$ width $=\frac{9}{5}ft$
John: Length $=\frac{3}{1}ft,$ width $=\frac{6}{15}ft$

Which of them estimated the length and width of the board correctly?

• A. Sam and Eva
• B. All three are correct.
  
• C. Only Sam
  
• D. Eva and John

Answer 1

The correct option is D Eva and John

Area of the noticeboard $=\frac{18}{15}sqft$

Possible numerators for the length and width so that the result is $18=2,9,3,6$ (factors of $18$)
Possible denominators for length and width so that the result is $15=1,15,3,5$ (factors of $15$)



So, Eva and John estimated the length and width of the board correctly.