10 Question 15 (5 points)
The perimeter of a rectangle is 38 units. The length is 13 units longer than the width.
What are the dimensions of the rectangle?
OA) 12 by 7
B) 18 by 5
C) 15 by 4
D) 16 by 3
help

Step-by-step explanation:

Width =  w units

Length = ( w + 13 ) units

Perimeter of rectangle = 38 units

2* (length + width) = 38

2*(w +13 + w )= 38            {Use distributive property: a*(b+c)=(a*b) +(a*c)

2* ( 2w + 13)   = 38  

2*2w + 2*13   = 38

     4w + 26   = 38              {Subtract 26 from both sides}

              4w   = 38 - 26

              4w =  12       {Divide both sides by 4}

                w = 12/4

w = 3 units

Length = 3 + 13 = 16 units

step-by-step explanation:

we are given

since, we have to isolate x on anyone side

so, we can move all x terms on one side

subtract both sides by 2x

add both sides by 9

divide both sides by 4

we get