Question

Someone please help :(
The area of a rectangular piece of land is 260 square meters. If the length of the land was 5 meters less and the width was 2 meters 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)

Answer 1

@Nnesha

Answer 2

really need you're help asap :( @Nnesha

Answer 3

The rectangular area:
xy = 260

The square area:
(x + 2)(y - 5) = 260

Now, the thing about this is, if the area is square, then x = y, so
(x + 2)(x - 5) = 260
x^2 - 3x - 10 = 260
x^2 - 3x - 270 = 0
(x - 15)(x + 18) = 0

x - 15 = 0
x + 18 = 0

Remember, only the positive result matters.

Answer 4

What would be the answer to B tho...

Answer 5

15

Answer 6

and an equation I can use?

Answer 7

(x + 2)(x - 5) = 260