In a rectangle, 15% of the length of one side is 12 cm, and the length 8/9 of the other side is 16 cm.

In a rectangle, 15% of the length of one side is 12 cm, and the length 8/9 of the other side is 16 cm. Find the area of the rectangle.

To solve this problem, recall the formula for the area of a rectangle. The area of the rectangle is equal to the product of the length and the width. S = a * b, where a is the length and b is the width. Let’s calculate the length and width. To find a number by its fractional part, you need to divide this number by a fraction.
Let’s calculate the length knowing that 15% of the length is 12 cm. Let’s translate the percentages into parts. 15% = 15/100 = 0.15.
12 / 0.15 = 80 cm.
We calculate the width, knowing that 8/9 of the width is 16 cm.
16: 8/9 = 16 * 9/8 = 144/8 = 18 cm.
Let’s calculate the area.
S = 18 * 80 = 1440 cm ^ 2.
Answer: 1440 cm ^ 2.



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