Judith is digging for sandstones at a geological site. She has 160 m of rope in four steaks to mark off a rectangular area which set of dimensions will create a rectangle using all the rope. Judith has with her.

Answer 1

Let the length of the rectangle be x meters and the width be y meters.

The perimeter of the rectangle is given by the formula:
Perimeter = 2x + 2y

Given that Judith has 160 meters of rope in total, we can create an equation using the perimeter formula:
2x + 2y = 160

Solving for y in terms of x:
2y = 160 - 2x
y = (160 - 2x) / 2
y = 80 - x

So, the dimensions of the rectangle that will make use of all 160 meters of rope are:
Length (x) = 80 meters
Width (y) = 80 - x = 80 - 80 = 0 meters

Therefore, the dimensions of the rectangle are 80 meters by 0 meters.