Problema Solution
The length of a piece of sheet metal is four times the width. The perimeter of the sheet is 80cm. Set up an equation relating to these measurements and solve the equation to find the dimensions of the sheet.
Answer provided by our tutors
Let 'l' represent the length and 'w' represent the width.
The length is 4 times the width:
l = 4w
We will assume the sheet is rectangular and its perimeter is 80 cm:
2l + 2w = 80 divide both sides by 2
l + w = 40
We have the following system of equations:
l = 4w
l + w = 40
........
click here to see the system of equations solved for l and w
........
l = 32 cm
w = 8 cm
The measurements of the sheet are: the length is 32 cm and the width is 8 cm.