If she wants the ratio of the planter’s width to height to be 5, what will be the ratio of its length to width? Write the exact answer. Do not round.

Question

A tinsmith wants to make a small windowsill planter from 51x21 cm cm a  sheet of copper. She’ll form it by cutting equally sized squares from each of the four corners of the sheet, folding up the resulting flaps to form the sides of the planter, and then soldering the four vertical edges.

 If she wants the ratio of the planter’s width to height to be 5 , what will be the ratio of its length to width? Write the exact answer. Do not round.

Answer 1

w/h = 5, what is L/w?? 51x21 cm sheet. cut squares from the corners, foldu up the sides to form an open box planter

L = Length = 51 -2x, w = width = 21 -2x x=h = height, (21-2x)/x = 5, 5x= 21-2x, 7x = 21, x= 21/7= 3

L = 51-2x = 51-6 = 45 cm = Length

L/w = 45/3 = 15/1 = ratio of Length to width