Question

Will give fan and medal!

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.

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

Answer 1

we have : lw = 260 -------1
and 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
then :
l-5 = w + 2 ==> l = w +7-------2
by plugging 2 in 1 ---> w^2 +7w = 260 -------> (w-13)(x+20)=0
w = - 20 neglected , then w = 13