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the length of a rectangular room is 16 less than four times the width. the perimeter of the room is 68 feet. find the length and the width​

Respuesta :

mavivian

Answer:

Step-by-step explanation:

x = width

4x - 16 = length

x + x + (4x - 16) + (4x - 16) = 68

= x + x + 4x - 16 + 4x - 16 = 68

= 10x - 32 = 68

= 10x = 100

= x = 10

width = 10 feet

length = 24 feet
Length=24, Width = 10

2L + 2W = perimeter

The length is 4 times the width minus 16 or 4w-16
So substitute L value into equation

2(4w-16)+ 2W = 68
8w-32+2w=68
10w=100
W=10

Width is 10

Length is 4w-16
Length = 4(10)-16
Length = 40-16
Length = 24