The length of a rectangle is 4 centimeters less than three times the width. the perimeter of the rectangle is 88 centimeters. what are the dimensions of the rectangle?

2 [ (x) + (3x - 4) ] = 88

2 [ x + 3x - 4 ] = 88

2 [ 4x - 4 ] = 88

4x - 4 = 44

4x = 40

x = 10 cm [ width]

3(10) - 4 = 26 cm [length]

C = 6.75n + 50

Step-by-step explanation:

The equation for the cost of renting the party room can be written in the form;

C= mn+k i

Where C = cost

n = number of people

Substituting the 2 cases into the equation we have,

Case 1

117.5 = 10m + k 1

Case 2

151.25 = 15m + k 2

Subtracting eqn 1 from 2 we have

151.25 - 117.50 = 15m - 10m

5m = 33.75

m = 33.75/5 = 6.75

Substituting m = 6.75 into eqn 1, we have

117.50 = 10(6.75) + k

k = 117.5 - 67.50

k = 50

Therefore, rewriting the eqn i, we have

C = 6.75n + 50