# Length and width

The width of a rectangle is 2ft less than its length. The area is 8ft^2. Find the length and width.

I can't seem to come up with anything that equals 64 sq ft.

I feel like I should be coming up with something around 7 times 9 but I can't seem to come up with 64, ideas?

1. 👍 0
2. 👎 0
3. 👁 117
1. In the first statement you say area is 8 ft^2
Then you say it is 64 ft^2

If it is eight, it is obvious by inspection
2*4 = 8

If it is 64, we better try to do it right
W * (W+2) = 64
W^2 + 2 W - 64 = 0
W = -2/2 +/- (1/2)sqrt (4 + 4*64)
W = -1 +/- (1/2) sqrt ( 4*65)
W = -1 +/- sqrt(65)
W = -1 - sqrt 65 forget this solution, no negative width
W = 8.06 - 1 = 7.06
W + 2 = 9.06
so indeed very close to 7 and 9

1. 👍 0
2. 👎 0
posted by Damon
2. x(x+2) = 64

If you are studying quadratic equations, you should be able to solve this one.

It comes out as a radical
(7.0622 and 9.0622)

1. 👍 0
2. 👎 0
posted by Reiny
3. You are right. I should sleep and try again later. I am starting to make silly mistakes.

1. 👍 0
2. 👎 0

## Similar Questions

1. ### Algebra

The width of a rectangle is 2ft less than the length. The area is 8ft^2.Find the length and the width. The width is__ ft. The length is __ ft.

asked by Nikayla on September 4, 2011
2. ### Math

The length of a rectangle is 2ft less than tree times width the area is 60 square ft. Find the length of the rectangle.

asked by Nate on August 16, 2017
3. ### Algebra

The width of a rectangle is 1 ft. less than the length. The area is 2ft^2. Find the length and the width.

asked by KC on March 2, 2008
4. ### math

The length of a rectangle is 2ft less than 3 times the width. If the area is 65 ft. Find the dimension

asked by Curry on July 6, 2016
5. ### math117

The area of a rectangle of length x is given by 3x2 +5x. Find the width of the rectangle. The area of a rectangle with width t is given by 33t - t 2. Factor the expression and determine the length of the rectangle in terms of t

asked by student on July 2, 2007
6. ### Maths

The area of a rectangle of width ycm is 140cm^2. If the width is reduced by 2cm, the length increases by 3cm, and the area decreases to 136cm^2 to form an equation that enables you to determine the value of Y and hence, find the

asked by Carter on May 12, 2016
7. ### Math

The area of a rectangle is shown below The area of the rectangle is 56 Which of the following are possible values for the length and width of the rectangle? A.length=6cm and width=9cm B.length=7cm and width=8cm C.length=14cm and

asked by Jerald on March 6, 2013
8. ### coordinate algebra

The area of a rectangle is found by multiplying the length by the width: A = lw. A certain rectangle has an area of x2 + 7x + 12. Factor the trinomial to find the length and width of the rectangle. In the form of a paragraph,

asked by chelsea on December 2, 2014
9. ### basic geometric

10. a rectangle has width the same as a side of a square whose perimeter is 20m. the length of the rectangle is 9m. find the perimeter of this rectangle. 34. The width of a rectangular picture is one-half the length. The perimeter

asked by vero on March 12, 2007
10. ### math

a rectangle is twice as long as it is wide. if both of its dimensions are increased by 4m, its area is increased by 88m^2 find the dimensions of the original rectangle Original rectangle = w for width and 2w for length. Area = w x

asked by samantha on November 29, 2006

More Similar Questions