Question

The length of a box y yards and the width is g feet. What is the perimeter of the box in inches?

Answer 1

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`color(blue)(Perimeter = 2 * ( 36y + 12g ") inches"`

Explanation:

`" "`
Length of Box `=y` yards

Width of Box `=g` feet

Perimeter of the Box = 2 ( Length + Width)

Before we calculate the Perimeter we must convert all the units from yards and feet to inches.

Note that

Refer to the table above:

Since 1 yard = 36 inches,

y yards = 36 times y inches = 36y inches

So, Length = 36y inches

1 foot = 12 inches

Hence, g feet = 12 times g inches = 12g inches

So, Width = 12g inches

Perimeter can be found using the formula: 2(Length + Width)

Perimeter = 2 ( 36y + 12g ) inches.

Distributive Law states that

`color(red)(a*(b+c) = ab + ac`

You can simplify `color(red)(2 ( 36y + 12g )` to

Perimeter = 72y + 24g inches

Hope it helps.