Question

Nancy is making a kite based on the pattern below. About how much binding does Nancy need to cover the edges of the kite?

Answer 1

Check the picture below.

so the perimeter of the kite is x+x+y+y, namely 2x + 2y.

`\bf \textit{using the pythagorean theorem} \\\\ c^2=a^2+b^2\implies c=√(a^2+b^2) \qquad \begin{cases} c=\stackrel{hypotenuse}{x}\\ a=\stackrel{adjacent}{8}\\ b=\stackrel{opposite}{15}\\ \end{cases} \\\\\\ x=√(8^2+15^2)\implies x=√(289)\implies \boxed{x=17} \\\\[-0.35em] ~\dotfill`

`\bf \begin{cases} c=\stackrel{hypotenuse}{y}\\ a=\stackrel{adjacent}{8}\\ b=\stackrel{opposite}{4}\\ \end{cases}\implies y=√(8^2+4^2)\implies y=√(80)\implies \boxed{y\approx 8.94} \\\\[-0.35em] ~\dotfill\\\\ 2x+2y\implies 2(17)+2(8.94)\implies 51.88\implies \stackrel{\textit{rounded up more}}{51.9}`