SOLUTION: Word problem: Rectangular range length of missile is 65 miles less than 5 times the width. If the missile will cover a perimeter of 800 square miles, what is the length and width

Question 87892: Word problem:
Rectangular range length of missile is 65 miles less than 5 times the width. If the missile will cover a perimeter of 800 square miles, what is the length and width of the rectngular range??
Step 1: Assign the variables
Step 2: Write algebraic model
Step 3: Solve the model - using substitution, linear combination etc...
step 4: Answer
Thanks
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Answer by SandySharma(35) (Show Source): You can put this solution on YOUR website!
Let x be the width of the Rectangular range of the missile.
then, the length will be 5x - 65
Perimeter = 2*(length +width)
= 2*( x + 5x - 65)
= 2*(6x - 65)
Given, perimeter = 800
so, 2*(6x - 65) = 800
12x - 130 = 800
Add 130 on both sides
12x = 930
divide by 12
x = 77.5
width = 77.5
length = 5*77.5 -65 = 322.5

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