SOLUTION: A rectangle has sides of 2x2 - 3x – 4 and 7x2+3x + 10. Find the expression that represents its perimeter.
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Question 29124: A rectangle has sides of 2x2 - 3x – 4 and 7x2+3x + 10. Find the expression that represents its perimeter.
Answer by sdmmadam@yahoo.com(530) (Show Source): You can put this solution on YOUR website!
A rectangle has sides of 2x2 - 3x – 4 and 7x2+3x + 10.
Find the expression that represents its perimeter.
If L is the length and B is the width of a rectangle,
then the perimeter of the rectangle is given by
Perimeter = 2(L+B) ----(*)
Given L= 2x^2 - 3x – 4 and B = 7x^2+3x + 10.
Therefore Perimeter = 2[ (2x^2 - 3x – 4)+ (7x^2+3x + 10)]
=2[(2+7)x^2+(-3+3)x+(-4+10)] (grouping like terms)
=2[9x^2+0+6]
=2X(9x^2+6)
=2X3(3x^2+2)
=6(3x^2+2)
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