Answer:
Explanation:
The area of the square is:
A = side^2 = 8^2 = 64 cm^2
Since the star covers 40% of the area of the square, its area is:
a_star = 0.4 * 64 = 25.6 cm^2
Let the width of the rectangle be 8 cm. Then, the length of the rectangle is:
l = 8 + 0.6*8 = 12.8 cm
The area of the rectangle is:
A_rect = wl = 812.8 = 102.4 cm^2
To calculate the area of the star inside the rectangle, we need to know the dimensions of the rectangle that are covered by the star. Since the star is inside a square of side 8 cm, its maximum width and height are both 8 cm. Therefore, the maximum area of the star inside the rectangle is:
a_star_max = 8*8 = 64 cm^2
However, this area is larger than the area of the star itself, which is 25.6 cm^2. Therefore, the area of the star inside the rectangle is 25.6 cm^2.
The percentage of the rectangle that the star covers is:
% coverage = (area of star inside rectangle / area of rectangle) * 100
= (25.6 / 102.4) * 100
= 25%
Therefore, the star covers 25% of the rectangle.