Answer:
27.4 yards
Explanation:
The diagonal of a rectangle, one of it's length and one of it's width will form a right angle triangle
Let
Width = x
Length = 2x
Diagonal = 80 yards
c^2 = a^2 + b^2
Where
c= diagonal
a= length
b= width
c^2 = a^2 + b^2
80^2 = (2x)^2 + (x)^2
80^2 = 2x * 2x + x^2
80^2 = 4x^2 + x^2
6,400= 5x^2
Divide both sides by 5
x^2= 6400 / 5
= 1280
x^2 = 1,280
Find the square root of both sides
√x^2 = √1,280
x= 35.8
How many yards, to the nearest tenth of a yard, does a person save by walking diagonally across the land instead of walking its length and its width?
Yards saved= (Length + width) - diagonal
= (2x+x) - 80
= {2(35.8) + 35.8} - 80
= (71.6 + 35.8) - 80
= 107.4 - 80
= 27.4
Yards saved = 27.4 yards
