Answered: A rectangular garden length is 2ft…

17th Edition

ISBN:9780998625713

Author:Lynn Marecek, MaryAnne Anthony-Smith

Publisher:Lynn Marecek, MaryAnne Anthony-Smith

Chapter10: Quadratic Equations

Section10.4: Solve Applications Modeled By Quadratic Equations

Problem 10.82TI: A rectangular tablecloth has an area of 80 square feet. The width is 5 feet shorter than the length....

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Question

A rectangular garden length is 2ft longer than its width has an area of 65ft. Find the dimensions of the garden, rounded to the nearest hundredth of a foot.

Expert Solution

Step 1

Let x be the width of the rectangular garden.

Given, length is 2ft longer than its width and the area 65 square feet.

Then, x + 2 will be the length.

Step 2

Therefore,

Area = lengthx width
65 = (x+2)× x
> x² + 2x – 65 = 0

Step 3

Solve the above equation using quadratic formula.

-2+ 22 – 4(1)(-65)
2(1)
-2+ 264
2
-2+2/66
2
2(-1+ J6)
2
=-l±/66
= 7.12,-9.12

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