You are making a card for a friend that looks like a heart shape. Solve for the total area of the shape. Use 3.14 as pi. Round the answer to the nearest hundredth. (1 point)
To find the area of a heart-shaped card, we need to determine which formula to use.
The heart shape can be visualized as consisting of two symmetrical halves -- one half is a circle, and the other half is an isosceles triangle.
Let's start with the circle. The area of a circle can be calculated using the formula:
Area = pi * radius^2
Since the radius is half the diameter of the heart shape, we need to determine the radius. However, we are not given any specific dimensions, so let's assume a radius of 1 unit for simplicity.
For the circle half of the heart:
Area of circle = pi * (1)^2 = pi square units
Moving on to the isosceles triangle half of the heart, we need to determine its base and height. Again, we do not have specific dimensions, so let's assume a base and height of 1 unit each.
For the isosceles triangle half of the heart:
Area of triangle = (1/2) * base * height = (1/2) * 1 * 1 = 0.5 square units
Now, to find the total area of the heart-shaped card, we simply sum the areas of the circle and triangle halves:
Total area = Area of circle + Area of triangle = pi + 0.5 square units
Using the value of pi as 3.14, we can calculate the approximate total area:
Total area ≈ 3.14 + 0.5 ≈ 3.64 square units
Rounded to the nearest hundredth, the total area of the heart-shaped card is approximately 3.64 square units.