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Leokris [45]
3 years ago
15

A green rectangle tile and a yellow rectangular tile are similar. The green tile has a length of 24 centimeters and a perimeter

of 80 centimeters. The yellow tile has a length of 72 centimeters. What is the perimeter of the yellow tile?
Mathematics
1 answer:
sesenic [268]3 years ago
8 0
"The perimeter of yellow tile is 240 cm."

Green tile and yellow tile are similar.
Perimeter of green tile = 80 cm
length of green tile = 24 cm
length of yellow tile = 72 cm
perimeter of yellow tile = ?
now you see if you multiply the length of green tile with 3 you get the length of yellow tile;
24 x 3 = 72 cm
As given that both tiles are similar so, if you multiply the perimeter of green tile with 3, you will get the perimeter of yellow tile;
80 x 3 = 240 cm
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<u>Answer:</u>

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<u>Step-by-step explanation:</u>

<u>Given :- </u>

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<u>To Find</u> :-

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We can find the slope of the line passing through the points ( x_1,y_1) and ( x_2,y_2)as ,

\implies m = \dfrac{ y_2-y_1}{x_2-x_{1}}

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\implies m = \dfrac{ 42-15}{18-7} \\\\\implies \boxed{ m = \dfrac{ 27}{11 }}

<u>Hence the slope of the line is 27/11 .</u>

\rule{200}2

<u>Finding the length of AB :-</u>

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\implies Distance =\sqrt{ (x_2-x_1)^2+(y_2-y_1)^2} \\\\\implies Distance =\sqrt{ (18-7)^2+(42-15)^2 }  \\\\\implies Distance =\sqrt{ 11^2 + 27^2 } \\\\\implies Distance =\sqrt{ 121 + 729 } \\\\\implies Distance = \sqrt{ 850} \\\\\implies \boxed{ Distance = 29.15 \ units }

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