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

Verified Answer :

\(larger\ rectangles:3l\ \times\ w\\\\smaller\ rectangles:l\ \times\ w\\\\A_{larger}=kA=3lw\\\\A_{smaller}=A=lw\\\\\frac{A_{larger}}{A_{smaller}}=\frac{kA}{A}=k\\\\k=\frac{3lw}{lw}=3\\\\Answer:J.\)

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