SOLUTION: A set of rectangle is constructed so that their sides are in the ratio length : width = 5 : √3 + 1
If the rectangle has a length of √2 metres, what is its width? (Pl
Algebra.Com
Question 984753: A set of rectangle is constructed so that their sides are in the ratio length : width = 5 : √3 + 1
If the rectangle has a length of √2 metres, what is its width? (Please fully simplify and leave in surd form).
Answer by Boreal(15235) (Show Source): You can put this solution on YOUR website!
Length/width=5/sqrt(3)+1
sqrt(2)/W=5/sqrt(3)+1
cross-multiply. sqrt(2)*sqrt(3)=sqrt(2*3)=sqrt(6)
;;
sqrt(6)+sqrt(2)=5W
W=(1/5)[sqrt (6)+ sqrt(2)]
;;
check: the ratio is approximately 5/2.7 or 1.85
;
sqrt(6)+sqrt(2) is about 3.9, and that divided by 5, is 0.78, just less than 0.8.
;
0.8*0.78=1.44, close enough to sqrt (2).
RELATED QUESTIONS
The sides of a rectangle are in the ratio 3:4. If the area of the rectangle is 300 square (answered by Alan3354)
The length and the width of a rectangle are in the ratio of 5:6. If their product is 120, (answered by vleith)
A rectangle that is the ratio of length to width is 3:2. If the area is 125cm^2 what are... (answered by stanbon)
The sides of a rectangle are in the ratio 4:7. If its length is 31.5 in., find the width, (answered by josgarithmetic,MathTherapy)
the length and width of a rectangle are in the ratio 5:3. the perimeter of the rectangle... (answered by rfer)
the width and length of a rectangle are in the ratio of 5/4.How wide in the rectangle if... (answered by geetha_rama)
the perimeter of a rectangle is 480 ft and the sides are in a ratio of 5:1. what are the... (answered by macston)
The length and width of a rectangle are in the ratio of 5:3
The perimeter is 64 feet.... (answered by rfer)
The sides of a rectangle are in a ratio 3:4. What is the length of the shorter sides of... (answered by rfer)