Question

A postage stamp is shaped like a rectangle with a perimeter of 88 millimeters. The length (x) is 10 millimeters less than twice the width (y). The system of equations shown below represents this situation.
x = 2y - 10
2x + 2y = 88

Which statement is true?

Question 4 options:

The width of the stamp is 1 millimeters


The length of the stamp is 36 millimeters


The width of the stamp is 8 millimeters less than the length.


The length of the stamp is 10 millimeters greater than the width

Answer 1

Length = x, width = y

x = 2y - 10....so sub in 2y - 10 for y back in the other equation

2x + 2y = 88
2(2y - 10) + 2y = 88
4y - 20 + 2y = 88
4y + 2y = 88 + 20
6y = 108
y = 108/6
y = 18

x = 2y - 10
x = 2(18) - 10
x = 36 - 10
x = 26

so the length (x) is 26 mm and the width (y) is 18 mm

The width of the stamp is 8 mm less then the length (26 - 18 = 8)