The Width of a rectangular swimming pool is 13 meters less than the length, and the perimeter is 74 meters. find its dimensions

Question

13 meters less than the length Perimeter 74 meters find the dimensions

 

Answer 1

Width is 13 less than length:

w = L - 13

 

Perimeter is 74 meters:

2(L+w) = 74

L + w = 37

 

Substitute L-13 in place of w and solve 2nd equation

 

L + L - 13 = 37

2L = 37 + 13

2L = 50

L = 25 meters

 

w = L-13 = 12 meters

 

The rectangle is 25 meters by 12 meters

 

Check:  P = 2(L+w) = 2(25+12) = 2(37) = 74 meters