Concept explainers
Work the parts of this exercise in order, and make a generalization concerning areas of rectangles.
(a) Find the area of a rectangle 4 cm by 5 cm.
(b) Find the area of a rectangle 8 cm by 10 cm.
(c) Find the area of a rectangle 12 cm by 15 cm.
(d) Find the area of a rectangle 16 cm by 20 cm.
(e) The rectangle in part (b) had sides twice as long as the sides of the rectangle in part (a). Divide the larger area by the smaller. Doubling the sides made the area increase_____times.
(f) To get the rectangle in part (c), each side of the rectangle in part (a) was multiplied by_____. This made the larger area_____times the size of the smaller area.
(g) To get the rectangle of part (d), each side of the rectangle of part (a) was multiplied by_____. This made the area increase to_____times what it was originally.
(h) In general, if the length of each side of a rectangle is multiplied by n. the area is multiplied by
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