SOLUTION: An entry in the Apple Festival Poster Contest must be rectangular and have an area of 1200 square inches. Also, its length must be 20 inches longer than its width. Find the dimen

Algebra.Com
Question 958864: An entry in the Apple Festival Poster Contest must be rectangular and have an area of 1200 square inches. Also, its length must be 20 inches longer than its width. Find the dimensions each entry must have.
Answer by lwsshak3(11628)   (Show Source): You can put this solution on YOUR website!
An entry in the Apple Festival Poster Contest must be rectangular and have an area of 1200 square inches. Also, its length must be 20 inches longer than its width. Find the dimensions each entry must have.
***
let x=width of rectangle
x+20=length of rectangle
width*length=area
x(x+20)=1200
x^2+20x=1200
x^2+20x-1200=0
solve for x by quadratic formula:

a=1, b=
x=-46.06(reject)
or
x=26.06
x+20=46.06
dimensions each entry must have:
width=26.06 inches
length=46.06 inches

RELATED QUESTIONS

A rectangular poster covers an area of 2 square feet on a bulletin board. The width of... (answered by jim_thompson5910)
The area of a rectangle is the product of its length and width. Both the length and width (answered by ikleyn)
The area of a rectangle is the product of its length and width. A rectangular poster has... (answered by ikleyn,josgarithmetic,MathTherapy)
The length of a rectangular poster is 2 times its width . The area of the poster is 648... (answered by TimothyLamb)
Sharon is making rectangular posters. Each poster has an area of 4800 square inches and... (answered by josgarithmetic)
A rectangular poster has an area of 260 square inches. the width of the poster is greater (answered by macston,MathTherapy)
A square poster is replaced by a rectangular poster that is 2 inches wider and 2 inches... (answered by math_tutor2020)
A rectangular sign must have an area of 22 square yards. Its length must be 4 yards more... (answered by solver91311)
A rectangular sign must have an area of 23 square yards. its length must be 6 yards more... (answered by ikleyn)