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Finding pair of linear equations

The perimeter of a rectangle is six times the width. If the length were increased by 4 inches and the width were increased by 7 inches, then the perimeter would be 160 inches. What are the width?

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23 inches Width

Posted on Jun 05, 2010

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The width of a rectangle is 15 centimeters. and the length is seven more than twice the width. What is the perimeter


width is one of two short sides, so you need 15 times 2 for the equation. then you need the long side length which is 2 times the width plus 7. the long side is 37, now you need to add those. 30 plus 74 to get the perimeter/

Feb 17, 2017 | The Computers & Internet

1 Answer

The length, l, of a rectangle is 5/2 its width, w. The length, l, of the rectangle is 10 inches. What is the perimeter of the rectangle? What Iis the area of the rectangle, in sauare inches?


We are given the following data:

length = 5/2 * width
length = 10 inWe know through the transitive

property of equality that the following must be true:

5/2 * width = 10 in

We then solve this equation algebraically for width:

width = (10 in) * 2/5
width = 4 in

The perimeter of the rectangle is given by substituting our known values of length and width into the following general equation:

Perimeter = 2 * length + 2 * width
Perimeter = 2(10 in) + 2(4 in) = 28 in

In a similar fashion, we substitute these known values into the general equation for the area of the rectangle to solve for the same:

Area = length * width
Area = (10 in)(4 in)=40 in^2

Nov 29, 2016 | The Computers & Internet

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Suppose that the width of a certain rectangle is 5 inches more than one-fourth of its length. The perimeter of the rectangle is 50 inches. Find the length and width of the rectangle.


Ok
2L + 2W = 50 (i)
W = L/4 + 5 (ii)

So 4W = L + 20 from (ii) and
4W = 100 - 4L from (i)
L + 20 = 100 - 4L
5L = 80
L = 16
W = 9 from (ii)

check
(i) 2*16 + 2*9 = 50
(ii) 16/4 + 5 = 9 = W

Oct 10, 2014 | Computers & Internet

1 Answer

The perimeter of a rectangle is 600 yards. what are the dimensions of the rectangle if the length is 20 yards more then the width


160 by 140

The perimeter is 600, so 2w+2l=600 where w is the width and l is the length.
Divide both sides by 2: w+l=300
The length is 20 more than the width: l=w+20
Substituting in the previous equation: w+(w+20)=300
Collecting terms: 2w+20=300
Subtract 20 from both sides: 2w=280
Divide by 2: w=140
Thus the width is 140. Substituting into the equation for length: l=140+20
Simplifying: l=160
The width is 140 and the length is 160

Sep 15, 2014 | MathAid Algebra II

1 Answer

X(2x+3)=90


Solve the resulting quadratic equation
2X^2+3X-90=0
Discriminant: (3)^2-4(2)(-90)=729=(27)^2
Two roots
X_1=(1/4)*(-3+27)=6
X-2=(1/4)*(-3-27) =-(15/2), negative
Since the width must be positive, reject the negative root and keep X_1=6
Width =6
Length=2(6)+3=15

Check 6*(15)=90. Checks OK

Apr 23, 2014 | Office Equipment & Supplies

1 Answer

What is the perimeter of a 1 x 3 rectangle?


Rectangle has two pairs of equal sides.
L=length=3 units
w=width =1 unit
Perimeter = sum of the measures of all sides.
2 sides with measure L: sum of lengths=2*L
2 sides with measure w: sum of widths=2*w
Perimeter = 2L+2w=2(L+w)=2(1+3)=8 units.

Oct 29, 2013 | Mathsoft StudyWorks! Mathematics Deluxe...

1 Answer

Perimeter of a 1 x 3 rectangle


Rectangle has two pairs of equal sides.
L=length=3 units
w=width =1 unit
Perimeter = sum of the measures of all sides.
2 sides with measure L: sum of lengths=2*L
2 sides with measure w: sum of widths=2*w
Perimeter = 2L+2w=2(L+w)=2(1+3)=8 units.

Oct 29, 2013 | Computers & Internet

2 Answers

How do you solve a rectangle is eight inches longer than its width. find the dimensions of the rectangle if the perimeter is 60 cm


The rectangle is 11cm by 19cm.

The perimeter is 60, so the width and length must add to 30. The length is 8 more than the width, or width+width+8=30. Solve that for width, then you can calculate the length based on the width.

If this is homework, be sure to show your work.

Oct 11, 2013 | Lands Phones

1 Answer

Please show all of the information and answers to: The plane was purchased new in 2006; therefore, x =0 represents the year 2006. X - Axis (horizontal) = years starting from 0 = 2006 and increasing b


Translate the English into Mathematics.
W=L-5 (in inches)
P=2(L+W)=2(L+L-5)=2(2L-5)
Use distirbutive property of multiplication with respect to addition to open up the parentheses (brackets)
P=4L-10.
Set P= 50 (inches), to get 4L-10=50
Solve for L: Do it'!
Find W= L (the one you just found) -5 =

Now, with W the value you just calculated
the new length is L'=-4+3W
and the new perimeter is P'=2(L'+W)

Now your turn to do some work.

Jan 02, 2012 | Office Equipment & Supplies

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