Question

the perimeter of a rectangle is equal to 124 m. one side of the rectangle is x + 6 and another side of the rectangle is 2x - 1 . find X find the length and find the width.​

Answer 1

x =19

25m by 37 meters

Explanation:

The perimeter of a rectangle is given by

P =2(l+w)

P = 2( x+6 + 2x-1)

Combine like terms

P = 2( 3x+5)

Distribute

P = 6x+10

We know the perimeter is 124

124 = 6x+10

Subtract 10 from each side

124-10 = 6x+10 -10

114 = 6x

Divide by 6

114/6 = 6x/6

19 =x

One dimension is x+6 = 19+6 = 25 meters

The other dimension is 2x-1 = 2*19 -1 = 38-1 = 37 meters

Answer 2

Length= 37 and Width=25

Explanation:

2(x+6)+2(2x-1)=124

2x+12+4x-2=124

6x+10=124

6x=114

x=19

(19)+6=25

2(19)-1=37