Eight congruent rectangles are arranged to form a larger rectangle as shown.
If the congruent rectangles each have a length of \(6\) cm and a width of \(3\) cm, what is the perimeter of the larger rectangle?
Suppose that the congruent rectangles each have a longer side of length \(L\) cm and a shorter side of length \(4\) cm. Suppose also that the perimeter of the larger rectangle is \(64\) cm.
What is the value of \(L\)?
What is the area of one of the eight congruent rectangles?
Extension: Can you solve part (b) without knowing that the length of the shorter side of each rectangle is \(4\) cm? If so, how?
Themes: Algebra, Geometry & Measurement