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Arturiano [62]
2 years ago
12

A rectangular room is 1.2 times as long as it is wide, and its perimeter is 26 meters. Find the dimension of the room.

Mathematics
1 answer:
pishuonlain [190]2 years ago
3 0

Answer:

Width = 5.91m

Length: 7.1m

Step-by-step explanation:

Width: x

Length: 1.2x

2x + 2(1.2x) = 26m

2x + 2.4x = 26m

4.4x = 26m

x = 26m/4.4

x = 5.91

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The figure below shows a rope that circles the earth. the radius of the earth is 6371 kilometers
ValentinkaMS [17]
<h2><u>Appropriate Question :-</u> </h2>

The figure below shows a rope that circles the Earth. The radius of the Earth is 6371 kilometers. Assuming the rope makes a perfect circle, what is the length of this rope? Give your answer in terms of pi. kilometers.

<h3>____________________</h3>

<h2><u>Solution :-</u></h2>

<h3><u>Given Information :-</u></h3>

  • <u>Radius of Earth ➢</u> 6,371 km
  • A rope completely circles the Earth
  • Earth is a circle

<h3><u>To Find :-</u></h3>

  • The Length of rope in terms of π ( pi. )

<h3><u>Formula Used :-</u></h3>

  • \pmb{ \bold{ \underline{ \boxed{\boxed{ \sf {perimeter \:  of \: circle \:(circumference)= \red{ 2\pi r}}}}}}}

<h3><u>Calculation :-</u></h3>

∵ The rope completely circles the Earth

⇒ Length of the rope = Perimeter of the Earth

∵ Formula to calculate the perimeter (circumference) = 2πr

∵ Earth is mentioned as a circle here, it's radius is 6,371 km

<em><u>Substituting the values in the formula, We get, </u></em>

⇒ Perimeter of Earth = 2 × π × 6,371 km

<em><u>Calculating further, We get, </u></em>

⇒ Perimeter of Earth = 12,742π km

As stated earlier, perimeter of Earth = length of rope

⇒ The perimeter of Earth is 12,742π km

∴ The length of the rope is 12,742π km

<h3>____________________</h3>

<h2><u>Final Answer :-</u></h2>

The Length of rope circling the Earth in terms of π ( pi. ) is 12,742 km.

<h3>____________________</h3>

<h3><u>Note :-</u></h3>

<em>Please scroll from right to left to see the whole solution. </em>

4 0
2 years ago
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