Question

if you were to walk around the perimeter of a particular building, you would cover 2516 ft. if this rectangular building is 194 ft longer than it is wide, what are its dimensions?

Answer 1

• 532 ft wide
• 726 ft long

Explanation:

You want to know the dimensions of a rectangular building that has a perimeter of 2516 feet and is 194 feet longer than wide.

Setup

Let w represent the width of the building. Then w+194 is the length, and the perimeter is ...

P = 2(L +W)

2516 = 2((w+194) +w)

Solution

2516 = 4w +388 . . . . simplify

2128 = 4w . . . . . . . subtract 388

532 = w . . . . . . . divide by 4

w+194 = 726 . . . . . length

The building is 532 feet wide and 726 feet long.