Question

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.

Answer 1

9514 1404 393

Answer:

A. 3/8 ft

B. width would decrease

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.

__

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