What is the width of the walkway in feet, Mathematics

Assignment Help:

A garden in the shape of a rectangle is surrounded through a walkway of uniform width. The dimensions of the garden only are 35 by 24. The field of the garden and the walkway together is 1,530 square feet. What is the width of the walkway in feet?

Let x = the width of the walkway. Since the width of the garden just is 24, the width of the garden and the walkway together is x + x + 24 or 2x + 24. Because the length of the garden only is 35, the length of the garden and the walkway together is x + x + 35 or 2x + 35. Area of a rectangle is length times width, so multiply the expressions together  and set the result equal to the total area of 1,530 square feet: (2x + 24)(2x + 35) = 1,530. Multiply the binomials by using the distributive property:  4x2 + 70x + 48x + 840 = 1,530. Combine such as terms: 4x2 + 118x + 840 = 1,530. Subtract 1,530 from both sides: 4x2 + 118x + 840 - 1,530 = 1,530 - 1,530; simplify: 4x2 + 118x - 690 = 0. Factor the trinomial  fully: 2(2x2 + 59x - 345) = 0; 2(2x + 69)(x - 5) = 0. Set each factor equal to zero and solve: 2 ≠ 0 or 2x + 69 = 0 or x - 5 = 0; x = -34.5 or x = 5. Reject the negative solution since you will not have a negative width. The width is 5 feet.

 


Related Discussions:- What is the width of the walkway in feet

Example of set representation, Can anybody suggest me any example of Set Re...

Can anybody suggest me any example of Set Representation?

Pressure and vorticity distributions, Normal 0 false false ...

Normal 0 false false false EN-IN X-NONE X-NONE

volumes for solid of revolution, Volumes for Solid of Revolution Befo...

Volumes for Solid of Revolution Before deriving the formula for it we must probably first describe just what a solid of revolution is. To find a solid of revolution we start o

Systems of differential equations, In the introduction of this section we b...

In the introduction of this section we briefly talked how a system of differential equations can occur from a population problem wherein we remain track of the population of both t

Famous Numbers, Do you provide the answers to the Famous Numbers Exercise?

Do you provide the answers to the Famous Numbers Exercise?

Variation, If p=10 when q=2,find p when q=5

If p=10 when q=2,find p when q=5

Developing an understanding ones tens and more, DEVELOPING AN UNDERSTANDING...

DEVELOPING AN UNDERSTANDING :  The other day I was showing the children's book '203 Cats' to my 7-year-old niece. She had recently learnt how to write large numerals in her school

Determine the function f ( x ) , Determine the function f ( x ) .       ...

Determine the function f ( x ) .             f ′ ( x )= 4x 3 - 9 + 2 sin x + 7e x , f (0) = 15 Solution The first step is to integrate to fine out the most general pos

Pearson sucess, do you have a decimal place value chart

do you have a decimal place value chart

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