The length of the field is 2 more than twice the width field, Mathematics

Assignment Help:

Samantha owns a rectangular field that has an area of 3,280 square feet. The length of the field is 2 more than twice the width. What is the width of the field?

Let w = the width of the ?eld and let 2w + 2 = the length of the ?eld (two more than double the width). Since area is length times width and multiply the two expressions together and set them equal to 3,280: w(2w + 2) = 3,280. Multiply by using the distributive property:  2w2 + 2w = 3,280. Subtract 3,280 from both sides: 2w2 + 2w - 3,280 = 3,280 - 3,280; simplify: 2w2 + 2w - 3,280 = 0. Factor the trinomial fully: 2(w2 + w - 1640) = 0; 2(w + 41)(w - 40) = 0. Set each factor equal to zero and solve: 2 ≠ 0 or w + 41 = 0 or w - 40 = 0; w = -41 or w = 40. Reject the negative solution since you will not have a negative width. The width is 40 feet.

 


Related Discussions:- The length of the field is 2 more than twice the width field

Find out the minimum distance from the origin, Problem 1. Find the maximum...

Problem 1. Find the maximum and the minimum distance from the origin to the ellipse x 2 + xy + y 2 = 3. Hints: (i) Use x 2 + y 2 as your objective function; (ii) You c

Find out the variance and standard deviation, The probability of a rare dis...

The probability of a rare disease striking a described population is 0.003. A sample of 10000 was examined. Determine the expected no. suffering from the disease and thus find out

Learning to count in maths, Here we learn: 1) Discussed what counting me...

Here we learn: 1) Discussed what counting means, and stressed that it is not the ability to recite number names. 2) Talked about the need for a child to understand several pr

Linear Equations of Parallel Lines, A line has the equation 2y=-3x+1. Find...

A line has the equation 2y=-3x+1. Find an equation of a line parallel to this line that has a y-intercept of -2.

Testing the difference between two sample means-illustration, An observatio...

An observation was made concerning reading abilities of males and females. The observation leads to a conclusion that females are faster readers than males. The observation was bas

Recursively, Let a 0 , a 1 ::: be the series recursively defined by a 0 =...

Let a 0 , a 1 ::: be the series recursively defined by a 0 = 1, and an = 3 + a n-1 for n ≥ 1. (a) Compute a 1 , a 2 , a 3 and a 4 . (b) Compute a formula for an, n ≥ 0.

Word problem in algebra, robin runs 5 kilometers around the campus in the s...

robin runs 5 kilometers around the campus in the same length of time as he can walk 3 kilometers from his house to school. If he runs 4 kilometers per hour faster than he walks, ho

Evaluate the measure of the smallest angle, The calculation of the angles o...

The calculation of the angles of a triangle are shown by 2x + 15, x + 20 and 3x + 25. Evaluate the measure of the smallest angle within the triangle. a. 40° b. 85° c. 25°

Write Your Message!

Captcha
Free Assignment Quote

Assured A++ Grade

Get guaranteed satisfaction & time on delivery in every assignment order you paid with us! We ensure premium quality solution document along with free turntin report!

All rights reserved! Copyrights ©2019-2020 ExpertsMind IT Educational Pvt Ltd