Fashion designers have shows to display their new designs. People who own clothing stores often go to the shows. They decide which of the designs to buy.They will sell clothing made according to these designs in their stores.

Runway Math
Planning fashion shows requires math skills. Sometimes a fashion show can be only a certain number of hours or minutes long.Designers must determine how many of their designs they can display at the show in that time. Sometimes designers know they want to display a certain number of designs. How long should the show be to allow all the designs to be seen? Designers can use division or multiplication to figure out things  like these.

Suppose a fashion show will be 30 minutes long. Each model will walk on the runway for 2 minutes. She will walk to the front of the runway, stop so that people can look closely at what she is wearing, and walk back again. Then, another model will come out.

How They Measure
Suppose a designer is making a prototype of a skirt. The skirt will be 33 inches long from top to bottom. The designer decides she needs a piece of fabric 36 inches long. This gives her 1 extra inch of fabric to make the hem at the bottom and 2 extra inches to make the waistband.The waistband is a piece of fabric that goes around the waist.

The designer places the end of her tape measure at the edge of her fabric. She runs the tape down the fabric. Then she finds the number 36 on the tape. She draws a line on the fabric at 36 inches. This marks where the fabric will be cut.Designers also measure people. Suppose a designer is making a long-sleeved shirt for a man. She needs to know how long the sleeves should be. So she holds the end of the measuring tape on the top of the man’s shoulder. She runs the tape down his arm. Then she stops at his wrist. She reads the number on the tape. It is 22. The man’s arm, from shoulder to wrist, is 22 inches long. So the sleeve must be 22 inches long, too.

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By the Yard

Designers use math to make prototypes.The first thing they do is to determine how much fabric they’ll need to buy. Fabric is often sold by the yard. This means that, often, you must buy a piece of fabric that is some whole number of yards long.

If you buy 1 yard of fabric, for example, you are buying a piece that is 1 yard long. Since there are 3 feet in 1 yard, you can also say that 1 yard of fabric is 3 feet long. Most pieces of fabric are 4 feet wide. So a piece of fabric 3 feet (1 yard) long has 12 square feet of fabric in it. You can figure this out by multiplying the length by the width,to find a square measurement, like this:

3 feet x 4 feet = 12 square feet

Suppose a designer is making a prototype of a coat. He estimates that he’ll need about 30 square feet of fabric in order to make the prototype. How many yards of fabric should he buy? The designer knows that 1 yard of fabric has 12 square feet. Two yards will have 24 square feet. That will not be enough. Three yards will have 36 square feet (12 + 12 + 12 = 36, or 12 x 3 = 36). So the designer buys 3 yards. He will have 6 square feet left over.

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A tessellation is a pattern made from figures that are all congruent. The figures in a tessellation repeat. All of the figures fit together like a puzzle. There are no gaps between the figures. The figures do not overlap. Many mosaics are examples of tessellations because they are made up of tiles that are all the same size and all the same shape.

Designers also use flips to make tessellations. In these patterns, the figure is flipped over again and again. The picture above is an example of a flip tessellation.

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Clothing and Geometry Sketches may use circles or triangles. Some may use rectangles. For example, a designer may sketch a boy’s jacket. He may use two rectangles to stand in for the sleeves and one for the main body of the jacket. There may be a hood shaped like a triangle. The designer can also use geometry in the design of the jacket. Maybe it will have square pockets on the front.

Fashion designers often create clothes that have line symmetry. That’s because many people think that clothes with line symmetry look good. Many designers give dresses line symmetry. Suppose you drew a line down the center of a dress with line symmetry. The left side of the dress would look like the right side of the dress flipped over.