The area of a rectangular invitation card is 3/10 square foot.
A. If the length of the card is 4/5 foot, find the width.
B. If the length were a bit longer but the area stayed the same, what would happen to the width? Explain.

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Answer:

  A.  3/8 ft

  B.  width would decrease

Step-by-step explanation:

A. The area of a rectangle is given by the formula ...

  A = LW

Solving for W, we find ...

  W = A/L . . . . . width is inversely proportional to length for the same area

Using the given dimensions, we find the width to be ...

  W = (3/10 ft²)/(4/5 ft) = (3/10)(5/4) ft

  W = 3/8 ft

The width of the card is 3/8 ft.

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B. Width is inversely proportional to length for the same area, so an increase in length would result in a decrease of width.

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