Question

a floral design on a floor is made up of 16 tiles which are triangular, the sides of the triangle being 9cm, 28cm and 35cm. Find the cost of polishing the tiles at the rate of 50 paise per cm square

Answer 1

hii friend...
i will hope that my answer is correct...
thankuu...

Answer 2

hi friend
here's your answer looking for

here , to find the cost of polishing the Thai let's first find out the area of that 16 tiles.

so,
here,
$s = \frac{35 + 28 + 9}{2} \\ \\ s = \frac{72}{2} \\ \\ s = 36cm$
now,
by heron's formula

$\sqrt{ s(s - a)(s - b)(s - c)} \\ \\ = \sqrt{36(36 - 35)(36 - 28)(36 - 9)} \\ \\ = \sqrt{36 \times 1 \times 8 \times 27} \\ \\ = 6 \times 6 \sqrt{6} \\ \\ = 36 \sqrt{6} {cm}^{2}$

now, area of 16 tile is

$16 \times 36 \sqrt{6 } \\ \\ = 16 \times 36 \times 2.45 \\ \\ = 1411.12 {cm}^{2}$
so, cost will be

$.50 \times 1411.12 \\ = 705.60$
so , this is your answer

hope you are satisfied with my answer