Question

City planners are planning to build a new community park. They agree that the park will be rectangular in shape, but the proposed
dimensions changed. At the most recent meeting, it was determined that the length would remain at 21.6 meters but that the width
would increase by 4.7 meters. So, the park would now cover an area of 714.96 square meters.
Which equation can be used to determine the original width of the park?

Answer 1

Answer:

  (c)  714.96 = 21.6(w +4.7)

Step-by-step explanation:

The area of the rectangular park will be the product of its length and width. This relation is used to write an equation to find the original width of the park.

Width

Let w represent the original width of the park in meters. The new width is 4.7 meters more, so is represented by (w +4.7).

Other dimensions

The length of the park is given as 21.6 meters. The area is given as 714.96 square meters.

Area formula

The various dimensions of the park are related by the area formula:

  A = LW

  714.96 = 21.6(w +4.7)