SOLUTION: Heart modeled with a square and two semi-circles. You use red for the square and lighter red for the semi circles. the problem is you only have enough red for a perimeter of 120cm
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Question 1176144: Heart modeled with a square and two semi-circles. You use red for the square and lighter red for the semi circles. the problem is you only have enough red for a perimeter of 120cm per figure. If you maximize the squares what will be the area of the heart.
I think this is a quadratic but I am not sure any insight would be appreciated
Answer by greenestamps(13200) (Show Source): You can put this solution on YOUR website!
I will guess that the "heart" is a square with two semicircles of the same radius on the top edge of the square....
Let x be the radius of each of the semicircles; then the side length of the square is 4x.
The perimeter of the heart is then the length of 3 sides of the square plus the circumferences of the two semicircles --
The maximum perimeter is 120cm:
Use a calculator to find the value of x.
The area of the heart is the area of the square, plus the area of the two semicircles; the two semicircles together make a full circle.
The area of the heart is then
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