Abiodunmarvellousidn
Answered

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PLS I NEED GOOD EXPLANATION
A rectangle is three times as long as it is wide.if its perimeter is 56cm .find the width of the perimeter ​

Sagot :

Answer:

width = 7 cm

Step-by-step explanation:

let w be width then length = 3w

The opposite sides of a rectangle are congruent , then perimeter is

2w + 2(3w) = 56 , that is

2w + 6w = 56

8w = 56 ( divide both sides by 8 )

w = 7

That is width of rectangle is 7 cm

BrainlySpartanidn

❆ Cᴏɴᴄᴇᴘᴛ :-

In this question, we will take the help of the branch of mathematics known as "Perimeter and area". We will also use "linear equation in one variable". Let's solve it!

[tex] \sf \dag \: \red{Given :-}[/tex]

  • Perimeter of a rectangle = 56 cm

Let the width be x

Therefore, the length will be 3x.

[tex] \sf \pink{Formula \: used :-} [/tex]

[tex] \boxed{ \red \bigstar \: { \sf \orange{perimeter \: of \: a \: rectangle \: = 2(length + breadth)}}} [/tex]

Now we will simply put the given values in the formula to get the required answer.

[tex] \sf \longrightarrow \: 56 \: cm = 2(x + 3x) \\ \sf \longrightarrow \: 56 \: cm = 2x + 6x \: \: \: \\ \sf \longrightarrow \: 8x = 56 \: cm \: \: \: \: \: \: \: \: \: \: \: \: \: \\ \sf \longrightarrow \: x = \frac{56 \: cm}{8} = 7 cm [/tex]

[tex] \sf \green{ \therefore \: width \: = x = 7 \: cm \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \:} \\ \sf \green{ and \: length \: = 3x = 3 \times 7 = 21 \: cm}[/tex]

I hope that helps :))

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