Question

On their vacation, the Lupines stay at a hotel that

has a rectangular swamp for a swimming pool. The
swamp has a perimeter of 124 feet. The length is
10 feet less than 5 times its width. What are the
length and width of the swamp?

Answer 1

perimeter =2L+2W or 2(L+W)

124= 2(5W-10+W)

perimeter =2( 6W-10)

124 = 12W-20

124+20=(12W+20-20

144=12W

144÷12=12W÷12

12=W

Answer 2

Explanation:

Given :-

• Let width be x and length be 5x - 10 according to the question

To find:-

• Measurement of length and width

Solution :-

Formula for perimeter of rectangular swamp = 2(L+W)

• Putting the known values ,

124 ft. = 2( 5x -10 + x )

124 ft. = 2(6x - 10)

124 ft. = 12x - 20

124+20 = 12x

144/12 = x

12 = x

putting the values of x

Length = 5x-10

• 5×12 - 10 = 50 feet

width = X

• 12 feet