Question

The length of a rectangle is 5 meters longer than the width. Find the length and width if the perimeter is 54 meters.

Answer 1

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Answer:

Width=11

Length=16

Step-by-step explanation:

Given:

The length of a rectangle is 5 meters longer than the width. Find the length and width if the perimeter is 54 meters.

Solution:

Let the width of a rectangle be "W".

Let the Length of a rectangle be "L".

Let the Perimeter of a rectangle be "P".

Perimeter Formula : P = 2 × Length + 2 × Width

P=2L+2W

54=2(5+w)+2w

10+2w+2w=54

10+4w=54

4w=54-10

4w/4w=44/4

W=11

Thus, the width is 11.

Since, the length is 5m longer.

Then, 11+5=16

Therefore,

Width=11

Length=16

               

  xcookiex12

8/19/2022

Answer 2

Answer:

length is 16 meters

width is 11 meters

Step-by-step explanation:

Let x = width

Let y= length

y=x+5 because length is 5 meters more

2(x+y)=54

2(x+x+5)=54 substitution

2(2x+5)=54 4x+10=54 simplify

4x=44

x=11

substituting: y=11+5=16

therefore,

length is 16 meters

width is 11 meters