The length of a rectangle is 9/8cm longer than the width. The perimeter of the rectangle is 13+1/4cm. What are the width and length of this rectangle?

width=2 11\16

length= 3 13\16

Step-by-step explanation:

the width is unknown lets name it x

width=x

length=x±9\8

2[x±x±9\8]=13 1\4 cm

x± x =2x

2x×2=4x

9\8×2=9\4

4x±9\4=13 1\4

4x=13 1\4 -9\4

52\4-9\4=43\4

4x=43\4

43\4÷4=2 11\16

so x which is width =2 11\16

length 2 11\16 ±9\8=3 13\16

right

step-by-step explanation:

3< x< 5

step-by-step explanation:

|x - 4| < 1

there are two solutions, one positive and one negative.   remember to flip the inequality when taking the negative solution

x-4 < 1       x-4 > -1

add 4 to each side

x-4+4 < 1+4       x-4+4 > -1+4

x< 5                 x> 3

3< x< 5