[tex].....................part \: 1. \: a.......................... \\\boxed{ Perimeter} \\ the \: perimeter \: of \: a \: triangle \: is \: given \: by \to\\ \boxed{p} = a + b + c........ \\ were \: \\ a \: b \: and \: c \: are \: the \: sides \: \: of \:the \: triangle \: when : \\ a = su = \: ?\\ b = ut = 8 \: units\\ c = ts = 14 \: units\\ to \: find \: su \: we \: apply \: pythagorean \: rule\: \to \: \\ (su) {}^{2} = {(ut)}^{2} + {(ts)}^{2} \\ su = \sqrt{ {8}^{2} + {14}^{2} } \\ su = 2 \sqrt{65} \\ hence : \\ \boxed{p} = 8 + 14 + 2 \sqrt{65} \\ p = 22 + 2 \sqrt{65} \\\boxed{p= 38 .12\: units}\\ \\ .......................part \: 1. \: b....................... \\ \boxed{Area} \\ the \: area \: of \: a \: triangle \: is \: given \: by : \\ A = \frac{1}{2} bc \\ hence : \\ A = \frac{1}{2} \times 8 \times 14 \\ \boxed{ A = 56\: {units}^{2}}[/tex]
Note.......I took care of part 1 only......cos handling both questions on here will be much on me
or.......you can set part 2 as a different question......but applying the same methods for the triangle will definitly work for the rectangle.
♨Rage♨
