Problema Solution
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?
Answer provided by our tutors
Area of small rectangle = 4x {length x width}
Area of large rectangle = 12x {length x width}
A = 4x {area of small rectangle is A square units, given}
kA = 12x {area of large rectangle is kA square units, given}
k(4x) = 12x {substituted 4x, in for A, into bottom equation}
k = 3 {divided each side by 4x}