Arectangular room is 12.5 feet wide and 14 feet long. how many linear feet of baseboards are needed to trim the room?

The perimeter of a rectangle (P) is found by adding the dimensions of the four sides of the rectangle. If we let W and L stand for the width and length, respectively, then

... P = W + L + W + L

Multiplication was invented to simplify repeated addition. Using multiplication, we can simplify this to

... P = 2W + 2L

The distributive property lets you simplify expressions where different things are multiplied by the same value. Using the distributive property, we can write the equation for perimeter as

... P = 2(W + L)

Using the given width and length, we can find the total length around the edge of the room to be ...

... P = 2(12.5 ft + 14 ft)

... P = 2(26.5 ft)

... P = 53 ft

53 linear feet of baseboards are needed to trim the room.

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