Use the area of a rectangle formula to solve for the width:
Area of a rectangle:
A=L•W
Input the variables:
(5,742)=(87)•w
87•w is equivalent to 87w
5742=87w
Solve for w:
5742/87=w
Simplify:
66=w
Apply the symmetric property: if a=b, then b=a:
w=66
We can check this by substituting w=66 back into the formula:
5742=87•66
5742=5742 by the reflexive property.
So, the width is 66cm