Question

the length of a rectangle is 4 unit less than the width. which expression represents the perimeter of the rectangle

Answer 1

Answer:

Length: 11

Width: 5

Step-by-step explanation:

Let W = width

Let L = length

 

Length is 4 less than 3 times the width  ==>  L = 3*W - 4  

 

Let P = Perimeter = 2*W + 2*L

 

Perimeter is 22 more than twice the width  ==>  P = 2*W + 22

 

Setting the 2 expressions for the perimeter equal to each other gives  

 

2*W + 2*L = 2*W + 22

2*L = 22

L = 11  

 

So 11 = 3*W - 4

3*W = 15

W = 5

 

The length is 11 and the width is 5  

 

Check:  3*W - 4 = 11 = Length

           Perimeter = 32 = 22 more than 2*5 = 10