Mathematics

Problem

A courtyard is a rectangle

50\,\text{m}\times32\,\text{m}

. From each of the two

32\,\text{m}

sides, a semicircle of radius

16\,\text{m}

is cut out. On the middle of each

50\,\text{m}

side, a semicircular porch of radius

4\,\text{m}

is added externally. What is the area of the resulting shape? a)

1600+240\pi\,\text{m}^{2}

1600-256\pi\,\text{m}^{2}

1600-240\pi\,\text{m}^{2}

1600-48\pi\,\text{m}^{2}