The rectangle shown has a perimeter of 130 cm and the given area. Its length is 5 more than four times its width. .

Question

very difficult

Answer 1

Hi Storm, use the equation for the perimeter of a rectangle, p = 2l + 2w to solve this question.

 

Solution:

 

p = 2l + 2w

 

Substitution:

 

p = 130 centimeters

 

w = w

 

l = 4w + 5

 

2 * (4w  5) + 2w = 130

 

8w + 10 + 2w = 130

 

Combine terms:

 

10w = 120

 

w = 12

 

The width of the rectangle is 12 centimeters.

 

The length of the rectangle is 4 * 12 + 5, or 53 centimeters.

 

Check:

 

2 * 53 + 2 * 12 = 130

 

106 + 24 = 130

 

130 = 130

 

Values check.

 

Questions?