Question

A rectangles perimeter is 124 ft. its length is 2 ft shorter than THREE TIMES its width. use an equation to find the rectangles length and width

Its width is___
its length is____

Answer 1

• Width be n
• Length is 3n-2

ATQ

`\\ \tt\hookrightarrow 2(n+3n-2)=124`

`\\ \tt\hookrightarrow 2(4n-2)=124`

`\\ \tt\hookrightarrow 4n-2=62`

`\\ \tt\hookrightarrow 4n=64`

`\\ \tt\hookrightarrow n=16`

• Width=16
• Length=46 .

Answer 2

Length will be 46 ft and width will be 16 ft

Step-by-step explanation:

Let the width be x.

then the length will be 3x - 2

using the rectangle perimeter formula:

2( length + width )

2(x + 3x-2) = 124

2(4x-2) = 124

8x - 4 = 124

8x = 128

x = 16 ft

Width will be 16 ft and

Length: 3x - 2

: 3(16)-2

: 46 ft