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

Question

Mathematics

Kyan Holmes

8 September, 07:39

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

+1

Answers (1)

Know the Answer?

Abdullah Drake · 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)