Answer:
Original rectangle
Length = 20 inches
Width = 10 inches
Step-by-step explanation:
Let
Original rectangle
Width = x
Length = 2x
When both the width and length are increased by 5 inches, the new rectangle has perimeter of 80 inches
New rectangle
Width = x + 5
Length = 2x + 5
Perimeter = 80 inches
Perimeter of a rectangle = 2(length + Width)
80 = 2{(x+5) + (2x+5)}
80 = 2( x + 5 + 2x + 5)
80 = 2(3x + 10)
80 = 6x + 20
80 - 20 = 6x
60 = 6x
x = 60 / 6
= 10
x = 10 inches
The length and width of the original rectangle
Width = x
= 10 inches
Length = 2x
= 2(10)
= 20 inches
