SOLUTION: The area of a rectangular window is to 306 square centimeters. If the length exceeds the width by 1 centimeters, what are the dimentions?
How do I solve this problem? I want to le
Algebra.Com
Question 396029: The area of a rectangular window is to 306 square centimeters. If the length exceeds the width by 1 centimeters, what are the dimentions?
How do I solve this problem? I want to learn step by step.
Answer by mananth(16946) (Show Source): You can put this solution on YOUR website!
The area of a rectangular window is to 306 square centimeters. If the length exceeds the width by 1 centimeters, what are the dimentions?
How do I solve this problem? I want to learn step by step.
let width be x
length = (x+1)
Area = 306
..
Area of rectangle A = L*W
A= x(x+1)= 306
x^2+x=306
add -306 to both sides
x^2+x-306 = 0
find factors of 306 such that their product = 306 and their sum is 1
x^2+18x-17x-306=0
x(x+18)-17(x+18)=0
(x-17)(x+18)=0
the width can be 17 OR -18. width cannot be -18. so ignore.
width = 17 cm
length = x+1 = 17+1=18 cm
..
the dimensions are 17 by 18 cm
...
m.ananth@hotmail.ca
RELATED QUESTIONS
Area of a rectangular window is to be 306 square centimeters. If the length exceeds the... (answered by edjones,mananth)
Dimensions of a Window The area of a rectangular window is to be 306 square centimeters.... (answered by math_tutor2020,greenestamps)
The diagnal length of a square window is 40 centimeters. Find the area of the window (answered by CubeyThePenguin)
the area of a rectangle is 108 square centimeters. if its width is 9 centimeters. what is (answered by Nada)
The length of a rectangle is 3 centimeters less then the width what are the dimensions of (answered by josgarithmetic,MathTherapy)
The length of a rectangle is 3 centimeters less than its width. What are the dimensions... (answered by ramkikk66)
The length of a rectangle is 3 centimeters less than its width. What are the dimensions... (answered by Alan3354)
the length of a rectangle is 12 centimeters less than its width what are the dimensions... (answered by tenkun)
the length of a rectangle is 6 centimeters less than its width. what are the dimensions... (answered by macston)