AS we don't know the width so let consider width=x inches
According to given condition
length = (3x -5) inches
TV screen is rectangular shaped so
Perimeter= 2( length +width) =2{(3x-5)+ (x)} equation 1
also given Perimeter = 150 inches equation 2
comparing equation 1 &2
2{(3x-5)+ (x)} =150
2{3x-5+x} =150
2{4x-5} =150
8x-10 =150
Adding 10 both sides
8x -10 +10 =150+10
8x=160
dividing 8 both sides
8x/8= 160/ 8
x= 20 inches width of screen.
length =( 3x-5) ={3(20) -5}
=60-5
length =55
If the The length of the flat screen tv is 5 inches less than 3 times it's width, and the perimeter is 150 inches, then the dimension of the TV screen = 55 inches by 20 inches
Let the length of flat screen tv be represented by L
Let the width of the flat screen tv be represented by W
Three times the width of the flat TV screen = 3W
The length of the flat screen tv is 5 inches less than 3 times it's width.
L = 3W - 5........................(1)
The TV screen is rectangular in shape
The perimeter of the TV screen is given by the formula:
P = 2(L + W)
The perimeter of the TV is 150 inches
P = 150 inches
150 = 2(L + W)
L + W = 150/2
L + W = 75..........(2)
Substitute equation (1) into equation (2)
3W - 5 + W = 75
Collect like terms
3W + W = 75 + 5
4W = 80
W = 80/4
W = 20
Substitute W = 20 into equation (1)
L = 3W - 5
L = 3(20) - 5
L = 60 - 5
L = 55
The width of the TV screen = 20 inches
The length of the TV screen = 55 inches
The dimension of the TV screen = 55 inches by 20 inches
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