SOLUTION: The rectangular ground floor of the John Hancock building has a perimeter of 860 ft. The length is 100ft more than the width. Find the length and width.
Algebra.Com
Question 124084: The rectangular ground floor of the John Hancock building has a perimeter of 860 ft. The length is 100ft more than the width. Find the length and width.
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
The rectangular ground floor of the John Hancock building has a perimeter of 860 ft. The length is 100ft more than the width. Find the length and width.
:
Let x = width
:
It said,"length is 100ft more than the width." therefore we can say
(x+100) = length
:
Also,"building has a perimeter of 860 ft."
2(x+100) + 2x = 860
2x + 200 + 2x = 860
4x = 860 - 200
4x = 660
x =
x = 165 ft is the width
and
165 + 100 = 265 is the length
:
:
Check solution in perimeter equation:
2(265) + 2(165) =
530 + 330 = 860
:
RELATED QUESTIONS
The John Hancock Center in Chicago has a rectangular base. The length of the base... (answered by mananth)
The problem is:
The top of the John Hancock Building in Chicago is a rectagle whose... (answered by mathrebel)
The top floor is a rectangle and has a perimeter of 520 ft. The width of the top floor... (answered by Cromlix)
The length of a rectangle is 5 ft longer than twice the width. if the perimeter is 100ft, (answered by Roseghanezadeh)
The top floor is rectangular and has a perimeter of 520ft. the width of the top floor... (answered by jim_thompson5910)
A standard rectangular highway billboard has a perimeter of 124 ft. The length is 34 ft... (answered by rfer)
A rectangular building is 2 meters longer than twice the width. The area of ground floor... (answered by basketball1127)
A building in a city has a rectangular base. The length of the base measures
70 ft less (answered by MathLover1)
The rectangular floor of a new office building is 50 feet longer than it is wide. The... (answered by oberobic)