SOLUTION: find the demensions of a rectangle , if the area equals 144 square in. and the length and the width are in the ratio of 2 to 1/2 .(hint : in order to eliminate the fraction , the r

Question 216373: find the demensions of a rectangle , if the area equals 144 square in. and the length and the width are in the ratio of 2 to 1/2 .(hint : in order to eliminate the fraction , the ratio may be changed to 4 to 1 .)
Found 2 solutions by rfer, drj:
Answer by rfer(16322) (Show Source): You can put this solution on YOUR website!
4x*x=144
4x^2=144
x^2=36
x=6 in
4x=24 in
6*24=144
Answer by drj(1380) (Show Source): You can put this solution on YOUR website!
Find the dimensions of a rectangle , if the area equals 144 square in. and the length and the width are in the ratio of 2 to 1/2. (hint : in order to eliminate the fraction , the ratio may be changed to 4 to 1.

Step 1. Let A=Area = width * length = 144 square inches

Step 2. Let w be the width and 4w be the length.

Step 3. Then

Step 4. Divide 4 to both sides of equation.

Step 5. Take the square root yields or

Step 6. Then ...Check the area ...which is a true statement.

Step 7. ANSWER: The dimensions are 6 feet as the width and 24 feet as the length.

I hope the above steps and explanation were helpful.

For Step-By-Step videos on Introduction to Algebra, please visit http://www.FreedomUniversity.TV/courses/IntroAlgebra and for Trigonmetry please visit http://www.FreedomUniversity.TV/courses/Trignometry.

Also, good luck in your studies and contact me at john@e-liteworks.com for your future math needs.

Respectfully,
Dr J
RELATED QUESTIONS
Find the dimension of a rectangle if the area equals 144 square inches and the length and (answered by ewatrrr)
the length of a rectangle is 7 inches longer than its width if the area of the rectangle... (answered by solver91311)
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 of a rectangle is four times the width. The area is 144 in.^2. Find the... (answered by checkley71)
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 area of a rectangle is 144 square meters. The length of the rectangle is three times... (answered by jorel1380)
the area of a rectangle is 144 square meters. the length of the rectangle is three times... (answered by Earlsdon)
the area of a rectangle is 350 cm2 if the width and the length are in a ratio of 7:2 find (answered by Fombitz)
The length and width of a rectangle are in a ratio of 5 to 4, and the area is 500 square (answered by cleomenius,ewatrrr)