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A garden has a length and width of 5 meters and 2meters, respectively. Find the area of the garden in square centimeters ​

Sagot :

✏️AREA

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[tex] \large \bold{\blue{PROBLEM:}} [/tex] A garden has a length and width of 5 meters and 2meters, respectively. Find the area of the garden in square centimeters.

[tex] \large \bold{\blue{SOLUTION:}} [/tex] Use the formula on how to find the area of a rectangle in square meters. Then convert into square centimeters.

  • [tex] \boxed{\sf A = l \cdot w } [/tex]

  • [tex] \sf A = 5m \cdot 2m [/tex]

  • [tex] \sf A = 10 m^2 [/tex]

» Convert into square centimeters.

  • [tex] \sf 1m^2 = 100cm^2 [/tex]

  • [tex] \sf 1m^2 \times 10 = 100cm^2 \times 10 [/tex]

  • [tex] \sf 10m^2 = 1000cm^2 [/tex]

[tex] \large \therefore \underline{\boxed{\tt \purple{Area = 1000cm^2}}} [/tex]

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[tex]\color{gold}\underline {\bold{\: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: }}[/tex]

Problem:

  • A garden has a length and width of 5 meters and 2 meters, respectively. Find the area of the garden in square centimeters ?

Given:

[tex]\quad\quad\quad »\blue {\rm{Length=5m}}[/tex]

[tex]\quad\quad\quad »\blue {\rm{Width=2m}}[/tex]

[tex]\quad\quad\quad »\blue {\rm{Area=?}}[/tex]

Formula:

[tex]\quad\quad\quad » \boxed{ \green{\rm{Area=(Length)(Width)}}}[/tex]

Solution:

[tex]\quad\quad\quad » \orange{\rm{Area=(Length)(Width)}}[/tex]

  • Lets substitute in the given formula.

[tex]\quad\quad\quad »\orange {\rm{A=(5m)(2m)}}[/tex]

  • Lets multiply it.

[tex]\quad\quad\quad » \boxed{ \green{\rm{Area={10m}^{2}}}}[/tex]

  • We need to convert it into centimeters. Remember that a 1m is equivalent to 100cm. So, Lets try!.

[tex]\quad\quad\quad » \blue{\rm{{10m}^{2}={1000cm}^{2}}}[/tex]

[tex]\quad\quad\quad »\boxed{ \purple{\rm{A={1000cm}^{2}}}}[/tex]

Answer:

[tex]\quad\quad\quad » \boxed{ \color{gold}{\rm{A={1000cm}^{2}}}}[/tex]

  • [tex]\color{gold}⟹[/tex] Hence, the Area is equal to 1000cm^2.

[tex]\color{gold}\underline {\bold{\: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: }}[/tex]

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[tex]\small\bold\color{black}\rm{\colorbox{yellow}{✍︎\:ChristineR.E.}}[/tex]

[tex]\bold{ \: \: \: \:\:\:\:\: \:\:\:\:\:\:\:\: \: \: \: \: \: \: \:\:\:\:\: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: ישו אוהב אותך } [/tex]