Question

Need the answers to these questions please

Answer 1

Answer:

a) $p = 88\,cm$, b) $p = 24\,cm$, c) $p \approx 25.424\,m$, d) $p \approx 39.368\,cm$

Step-by-step explanation:

a) The perimeter is the sum of the three sides of the internal square and the remaining sides of the external rectangle, that is:

$p = 3\times 8\,cm + 2\times 4\,cm +2\times 20\,cm + 16\,cm$

$p = 88\,cm$

b) The perimeter is the sum of the two sides of the internal triangle and the remaining sides of the external rectangle, that is:

$p = 2\times 4\,cm + 2\times 6\,cm + 4\,cm$

$p = 24\,cm$

c) The perimeter is the sum of the two sides of the circular section and the three sides of the lower rectangle, that is:

$p = \frac{\pi}{2}\times 6\,cm + 8\,cm + 6\,cm + 2\,cm$

$p \approx 25.424\,m$

d) The perimeter is the sum of the external sides of the triangle and rectangle, that is:

$p = 10\,cm + 12\,cm + 12\,cm + 12\,cm - \sqrt{(12\,cm)^{2}-(10\,cm)^{2}}$

$p \approx 39.368\,cm$