Math, asked by nithinpersonal2006, 10 months ago

eiffel tower's 1/5 th part is painted bronze. 1/4th of the remaining part is pained maroon. Rest ofthe eiffel tower was painted golden. if the height of the golden coloured part is 450m, what is eiffel tower's height?

Answers

Answered by Cosmique

QUESTION

Eiffel tower's 1/5th part is painted bronze . 1/ 4 of the remaining part is painted

maroon . Rest of the Eiffel tower was painted golden . If the height of the golden colored part is 450 m , what is Eiffel tower's height ?

SOLUTION

Let,

height of Eiffel tower = x meters

then,

AS PER QUESTION

tower painted bronze = x / 5 meters

remaining part of tower

after painting bronze = $x - \frac{x}{5} = \frac{5x - x}{5} =\frac{4x}{5} m$

so,

tower painted maroon = 1/ 4 * 4x / 5 = x / 5 meters

as given that,

rest of the tower is painted golden

and , height of tower painted golden = 450 m

so,

height of tower painted bronze + tower painted maroon + tower painted golden = total height of tower

hence,

$\frac{x}{5} + \frac{x}{5} + 450 = x\\\\( taking LCM)\\\\\frac{x + x + 2250}{5} = x\\\\ ( cross multiplying )\\\\2x + 2250 = 5x\\\\3x = 2250\\\\ x = 2250 / 3\\\\x = 750 m$

HENCE THE HEIGHT OF EIFFEL TOWER IS 750 METERS.

Answered by Swarup1998

Height of Eiffel Tower = 562.5 m

Step-by-step explanation:

Step 1.

Total part = 1

Step 2.

⅕ of the Eiffel Tower is painted bronze

Rest = (1 - ⅕) part = ⅘ part

Step 3.

¼ of the remaining is painted maroon

Rest = (1 - ¼ of ⅘) part

= 1 - ¼ × ⅘ part

= 1 - ⅕ part

= ⅘ part

Step 4.

Height of the golden paint = 450 m

So the height of the Eiffel Tower

= (450 ÷ ⅘) m

= (450 × 5/4) m

= 562.5 m