SOLUTION: The length of a photograph is 1cm less than twice the width. The area is 23cm squared. Find the dimensions of the photograph.

Question 132631: The length of a photograph is 1cm less than twice the width. The area is 23cm squared. Find the dimensions of the photograph.
Answer by checkley71(8403) (Show Source): You can put this solution on YOUR website!
L=2W-1
(2W-1)W=23
2W^2-W-23=0
USING THE QUADRATIC EQUATION: WE GET:
W=(1+-SQRT[-1^2-4*2*-23 ])/2*2
W=(1+-SQRT[1+184])/4
W=(1+-SQRT185)/4
W=(1+-13.6)/4
W=(1+13.6)/4
W=14.6/4
W=3.65 ANSWER FOR THE WIDTH.
L=2*3.65-1
L=7.3-1
W=6.3 ANSWER FOR THE LENGTH.
PROOF:
3.65*6.3=23
23=23

RELATED QUESTIONS
The length of a photograph is 1 cm less than twice the width. The area is 45cm squared.... (answered by vleith)

a rectangular photograph has an area of 40 inches. If the width of the photograph is 3... (answered by ikleyn)

The length of a rectangle is 1cm less than twice it’s width. The area is 45 cm ^2. What (answered by Alan3354)

The area of a rectangle is 33m squared, and the length of the rectangle is 5m less than... (answered by TimothyLamb)

The area of a rectangle is 65ft squared, and the length of the rectangle is 3ft less than (answered by josgarithmetic)

the length of rectangle is 1cm less than twice the width. the perimeter is 28cm. find the (answered by srinivas.g)

The length of a rectangle is 1ft less than twice its width, and the area of the rectangle (answered by josh_jordan)

THe perimeter of a rectangular photograph is 22 inches. The length of the photograph is 1 (answered by swincher4391)

The width of a rectangle is 1cm more than half the length. When both the length and the... (answered by stanbon)