SOLUTION: 94.) Area of a painting. A rectangular painting with a width of x centimeters has an area of x^2 +50x square centimeters. Find a binomial that represents the length. See the accomp

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Question 163324This question is from textbook Elementary and Intermediate
: 94.) Area of a painting. A rectangular painting with a width of x centimeters has an area of x^2 +50x square centimeters. Find a binomial that represents the length. See the accompanying figure.
which reads Area = x^2+50xcm^2 The top of the pictire has a ? mark and one side of the picture shows x cmThis question is from textbook Elementary and Intermediate

Answer by ankor@dixie-net.com(12692) About Me  (Show Source):
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Area of a painting. A rectangular painting with a width of x centimeters has an area of x^2 +50x square centimeters. Find a binomial that represents the length. See the accompanying figure.
which reads Area = x^2+50xcm^2. The top of the picture has a ? mark and one side of the picture shows x cm
:
This will be apparent if you factor out x from the Area expression, x^2 + 50x:
x(x+50)
:
Area = width * length, right?
:
We know the width is x, therefore the length has to be (x+50)
:
Check:
x * (x+50) = x^2 + 50x