SOLUTION: the length of a rectangular board is 9 inches more than its width, the area is 112 square inches. Find the measures of the length and the width Please help me😭😭&

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Question 1086553: the length of a rectangular board is 9 inches more than its width, the area is 112 square inches. Find the measures of the length and the width
Please help me😭😭😭
Found 2 solutions by jim_thompson5910, MathTherapy:
Answer by jim_thompson5910(35256)   (Show Source): You can put this solution on YOUR website!
L = length (in inches)
W = width (in inches)

We're given that the "the length...is 9 inches more than its width", so



The area of any rectangle is found by the formula



Make substitutions and get everything to one side

Replaced L with W+9

Replaced A with 112











----------------------------------

From here use the quadratic formula. It is the most effecient way to solve quadratic equations.

Using the quadratic formula, we get



Plug in , ,







or

or

or

or

Ignore the value . It's not possible to have a negative width.

The only practical solution is

If the width is , then the length L is







Note how L*W = 7*16 = 112 so that helps confirm the answers.

----------------------------------

Answers:
Length = 16 inches
Width = 7 inches
Answer by MathTherapy(10552)   (Show Source): You can put this solution on YOUR website!

the length of a rectangular board is 9 inches more than its width, the area is 112 square inches. Find the measures of the length and the width
Please help me😭😭😭
ALL you need to do is find two FACTORS of 112 that DIFFER by 9. Those will be your length and width measurements.

That's all....nothing COMPLEX and/or CONFUSING!! 

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