The height of the rectangular window is 1 1/5 m. And the width of the window is 2/3 of the height. find the window area.

| April 2, 2021 | education

To calculate the area of ​​the window, we use the formula for determining the area of ​​a rectangle: S = a * b, where S is the area of ​​the rectangle, a is the height of the rectangle, b is the width of the rectangle.

For ease of calculation, we translate the values ​​into centimeters, applying the ratio 1 (m) = 100 (cm), we get: 1 1/5 (m) = (1 * 5 + 1) / 5 = (5 + 1) / 5 = 6 / 5 (m) = 6/5 (m) * 100 (cm) = (6 * 100) / 5 = 600/5 = 120 (cm).

This means that the height of the window is 120 (cm), and the width of the window is 2/3 of the height, then:

120 (cm) * 2/3 = (120 * 2) / 3 = 240/3 = 80 (cm).

Substitute the found values ​​a = 120 (cm) and b = 80 (cm) into the formula: S = 120 (cm) * 80 (cm) = 9600 (cm2).

We translate into meters, we apply the equality 1 (m2) = 10000 (cm2) or 1 (cm2) = 1/10000 (m2) = 0.0001 (m2). Then: 9600 (cm2) = 9600 (cm2) * 0.0001 (m2) = 0.96 (m2).

Answer: The window area is 0.96 square meters.



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