Answered

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 :

[tex]larger\ rectangles:3l\ \times\ w\\\\smaller\ rectangles:l\ \times\ w\\\\A_{larger}=kA=3lw\\\\A_{smaller}=A=lw\\\\\frac{A_{larger}}{A_{smaller}}=\frac{kA}{A}=k\\\\k=\frac{3lw}{lw}=3\\\\Answer:J.[/tex]

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