# A rectangle has a side length of 1 m and 1 cm, and a square has a side length of 1 dm.

January 30, 2021 | education

| **A rectangle has a side length of 1 m and 1 cm, and a square has a side length of 1 dm. Compare the areas of both figures.**

Before performing any actions, we need to convert all units into one, the smallest, in this case, in centimeters: 1 m = 100 cm, 1 dm = 10 cm.It turns out:

Rectangle with sides: a = 100 cm, b = 1 cm;

Square with side: c = 10 cm.

To find the area of a rectangle, multiply its length by its width:

S = a * b = 100 * 1 = 100 cm2 – the area of the rectangle.

To find the area of a square, you need to square its side (that is, multiply by itself):

S = a ^ 2 = a * a = 10 * 10 = 100 cm2.

Thus, we find that both the rectangle and the square have the same area of 100 cm2, or 1 m2.

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