The rectangle is 1.5 inches long and 40% wide. The length of the side of the square is equal

| September 23, 2021 | education

The rectangle is 1.5 inches long and 40% wide. The length of the side of the square is equal to the width of the rectangle. What percentage is the area of the square of the area of the rectangle?

1) Determine the size of the width of the rectangle (and according to the condition of the problem and the size of the side of the square): 1.5: 100 · 40 = 0.6 (dm);

2) Calculate the area of the rectangle using the formula: S = a *b = 1.5* 0.6 = 0.9 (dm ^ 2);

3) Calculate the area of the square using the formula: S = a ^ 2 = 0.6 ^ 2 = 0.36 (dm ^ 2);

4) Let’s take the area of the rectangle for 100%, and for x (x) the percentage value, which is the area of the square in relation to the area of the rectangle. Let’s make the proportion: 100: 0.9 = x: 0.36;

x = 0.36 *100: 0.9 = 40%.

Answer: the area of the square is 40% of the area of the rectangle.



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