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)
7.14 in.
2
16.56 in.
2
10.28 in.
2
5.57 in.
10.28 in.²
To find the area of a heart shape, we need to first divide the shape into two separate parts - a triangle and a semicircle.
Let's assume the triangle has a base of 4 inches and a height of 4 inches. The formula for finding the area of a triangle is A = 1/2 * base * height.
Area of triangle = 1/2 * 4 * 4 = 8 in.²
Next, let's calculate the area of the semicircle. The radius of the semicircle is 4 inches. The formula for finding the area of a circle is A = πr². Since we only have half of a circle (a semicircle), we divide the formula by 2.
Area of semicircle = 1/2 * 3.14 * 4² = 25.12 in.²
Adding the area of the triangle and the area of the semicircle together:
Total area = 8 in.² + 25.12 in.² = 33.12 in.²
Rounding to the nearest hundredth, the total area of the heart shape is 33.13 in.².