Abiodunmarvellous
Answered

At Westonci.ca, we connect you with the answers you need, thanks to our active and informed community. Our platform provides a seamless experience for finding precise answers from a network of experienced professionals. Get quick and reliable solutions to your questions from a community of experienced experts on our platform.

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

BrainlySpartan

❆ 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 :))

Thanks for stopping by. We are committed to providing the best answers for all your questions. See you again soon. We hope you found this helpful. Feel free to come back anytime for more accurate answers and updated information. Thank you for trusting Westonci.ca. Don't forget to revisit us for more accurate and insightful answers.