Thomas has a letter he wants to send to his girlfriend. the total perimeter of the blue stamp and envelop is 50 cm. the ratio between them is 1:4. What is the perimeter of the stamp?

Question

So I know that I need to let x be the width of the stamp and the width of the envelope be 4x. the height of the stamp is y and the height of the envelope is 4y. this is because of the ratio. but then where do i go from there? please explain your steps

Answer 1

So perimeter of stamp is 2x + 2y
and the perimeter of the envelope is 4x + 4y
given: 2x+2y + 8x+8y = 50
10x+10y=50
x+y=5

Hence the perimeter of the stamp
= 2x+2y
= 2(x+y)
=2(5)
= 10 cm