Question

The drawing shows a heart-shaped figure. The heart is composed of a square and two semicircles. The semicircles have the center in the middle of two of the sides.
a) Set up a formula to calculate the area of ​​the heart.
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Answer 1

Answer:

Area = πx² + x² or x²(π + 1)

Step-by-step explanation:

The area of the heart = area of a circle + area of the square

Note:

1. The 2 semicircles makes 1 full circle

2. The diameter of the circle = the side length of the square

Thus:

Area of the heart = πr² + s²

Where,

r = x

s = x

Formula for area of the heart = π(x²) + x² = πx² + x²

Area = x²(π + 1)