Question

A bulk of triangular tiles of the length 3 cm, 4 cm and 5 cm is to be used for the flooring of a room with area 216 cm². Find how many tiles should be used for the flooring. Find the total cost of polishing the tiles at the rate of Rs. 2.75 per cm².

Answer 1

Answer:

$Number \:of \: tiles = 36$

$Cost\: of \: polishing = Rs\:594$

Step-by-step explanation:

Dimensions of a triangular tile:

a = 3 cm, b = 4 cm , c = 5 cm

(By above measurements shows that it is a right angled triangle .)

$Area \: of \: triangle (A)\\=\frac{1}{2}\times product \: two \: sides \: other \: than \: hypotenuse$

$=\frac{1}{2}\times 3\times 4\\=3\times 2\\=6 \:cm^{2}$

$Let\: number \: of \: tiles \\ required = n$

$Area\:of \: room = 216 \:cm^{2}$

$n =\frac{Area \:of \:the\: room }{Area \: of \: each \: tile }$

$=\frac{216\:cm^{2}}{6\:cm^{2}}\\=36$

$Cost\: of \: polishing \:1\:cm^{2}\\area = Rs\:2.75$

$Cost \: of \: polishing \\ 216\: cm^{2}\\ = 216 ×Rs\: 2.75\\=Rs\:594$

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