Question

The length of a rectangle is 3 times the length of a

smaller rectangle. The 2 rectangles have the same
width. The area of the smaller rectangle is A square
units. The area of the larger rectangle is kA square
units. Which of the following is the value of k ?
F.1/9
G. 1/3
H. 1
J. 3
K. 9

Answer 1

`larger\ rectangles:3l\ *\ w\\\\smaller\ rectangles:l\ *\ w\\\\A_(larger)=kA=3lw\\\\A_(smaller)=A=lw\\\\(A_(larger))/(A_(smaller))=(kA)/(A)=k\\\\k=(3lw)/(lw)=3\\\\Answer:J.`