Question

if you have a rectangular banner and the length is 44 inches and has a perimeter of 156 inches and an area of 1496 square inches. if i make a similar figure as the original banner with the length of 11 inches what is my perimeter and area?

Answer 1

Well there's two ways to approach this:
1.) Finding the width and going from there
2.) Finding the scale factor

I would recommend using the scale factor technique. You see how the length is reduced by a factor of 4? Well since the perimeter's formula involves adding length times width, you can just multiply the perimeter by 1/4 since the length went from 44 to 11(Just a rule, take it by heart). That means that the perimeter is $\frac{156}{4} = 39$.

The area is multiplied, not added, so you have to square the scale factor. This means multiply the area by 1/16 (Another rule, take it by heart). This means that the area is [tex]\frac{1496}{16} = between 94 and 95