The glee club has 120 cupcakes to sell they have decided to arrange them in the shape of a rectangle such that rows have an even number of cupcakes and the columns have an odd number of cupcakes. how many arrangements of cupcakes can they create? explain.

Alright, lets get started.

Two sides of the rectange are 14 and s.

So, the area of the rectange would be =

So, the area of the rectange would be =

A triangle is cut from the rectangle.

The height of the triangle is =

The base of the triangle is = 14

So area of the triangle would be =

area of the triangle would be =

area of the triangle would be =

So, the area of shaded region = area of rectange - area of triangle

the area of shaded region =

As per given in question, area of shaded region is 84, hence

equation

So, this is the equation for s : Answer

Hope it will help :)