A floral design on a floor on a floor is made up of 16 tiles which are

1.	A floral design on a floor on a floor is made up of 16 tiles which are triangular, the sides of the triangular being 9cm,28cm and 35cm.Find the of a polishing the tiles at the rate of 50p per cm².
Answer» $\huge\bigstar\underline\mathfrak\orange{Answer:-}$ $\large\sf\green{Given:-}$ $\sf{a\:=\:9cm}$ $\sf{b\:=\:28cm}$ $\sf{c\:=\:35cm}$ $\large\sf\pink{Formula:-}$ $\longrightarrow$ $\sf{s}$ = $\sf\frac{a+b+c}{2}$ $\longrightarrow$ $\sf{s}$ = $\sf\frac{9+28+35}{2}$ $\longrightarrow$ $\sf{s}$ = $\sf\frac{72}{2}$ $\longrightarrow$ $\sf{36cm}$ $\large\sf\red{Area\:of\:triangular\:tile\:is}$ $\longrightarrow$ $\sf\sqrt{s(s - a)(s - b)(s - c)}$ $\longrightarrow$ $\sf\sqrt{36(36 - 9)(36 - 28)(36 - 35)}$ $\longrightarrow$ $\sf\sqrt{36 - 27 - 8}$ $\longrightarrow$ $\sf\sqrt{36 \times 9 \times 3 \times 4 \times 2}$ $\longrightarrow$ $\sf6 \times 3 \times 2 \times \sqrt{3 \times 2}$ $\longrightarrow$ $\sf36 { \sqrt{6cm} }^{2}$ $\longrightarrow$ $\sf(36 \sqrt{6} \times 2.42) {cm}^{2}$ $\longrightarrow$ $\sf{88.2cm}^{2}$ $\sf\green{Therefore,\:the\:total\:area\:of\:the\:tile\:is\:=\:16\:×\: 88.2 cm²}$ $\sf{=\:1411.2\:cm²}$ $\sf\red{Hence,\:The\:cost\:of\:polishing\:per\:cm²\:are\:=\:50p}$ $\sf\pink{Than,\:Total\:cost\:of\:polishing\:the\:tiles\:=\50p×1411.2 cm²}$ $\longrightarrow$ $\sf{=\:Rs.705.60}$ $\sf\orange{Therefore,\:It\:cost\:Rs.\: 705.60\:while\:polishing\:the\:complete\: tiles}$