One quick algebra question please??? medal rewarded(:
The area of a rectangular piece of land is 280 square meters. If the length of the land was 5 meters less and the width was 1 meter more, the shape of the land would be a square.

Part A: Write an equation to find the width (x) of the land. Show the steps of your work. (5 points)

Part B: What is the width of the land in meters? Show the steps of your work. (5 points)

Question

One quick algebra question please??? medal rewarded(: 
 The area of a rectangular piece of land is 280 square meters. If the length of the land was 5 meters less and the width was 1 meter more, the shape of the land would be a square. 

Part A: Write an equation to find the width (x) of the land. Show the steps of your work. (5 points)

Part B: What is the width of the land in meters? Show the steps of your work. (5 points)

anonymous · Answer

@Hero

anonymous · Answer

What is the formula for determining the area of a rectangle?

anonymous · Answer

You there?

midhun.madhu1987 · Answer

Area of Rectangle = l X b
280 = l X b  ----- (1)
Square:
Length = (l-5)
Breadth = (b+1)
But Length = Breadth in case of Square
i.e. (l-5) = (b+1)
(l-b) = 6 -----(2)
From (1), b = 280/l ------(3)
Substitute (3) in (2), we get
l – 280/l = 6
l^2 – 6l -280 = 0
Solving this Quadratic Equation by suitable methods(Splitting the middle terms),
We get l = 20m and b = 14m.


LET ME KNOW IF YOU NEED ANY CLARIFICATIONS REGARDING THE SOLVING STEPS...

THANKS,
Midhun