SOLUTION: The measure of the area of a rectangle is 4x2+7x-15. If hedemensions of the rectangle are representd by polynomials, find the demensions of the rectangle and then find its perimete

Question 174050: The measure of the area of a rectangle is 4x2+7x-15. If hedemensions of the rectangle are representd by polynomials, find the demensions of the rectangle and then find its perimeter if each side is increased by 4 units.
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
The measure of the area of a rectangle is 4x2+7x-15. If dimensions of the rectangle are representd by polynomials, find the dimensions of the rectangle and then find its perimeter if each side is increased by 4 units.
------------------------------
4x2+7x-15
Factor:
= 4x^2 +12x - 5x - 15
= 4x(x+3) -5(x+3)
= (x+3)(4x-5
These are the dimensions.
----------------------------
Increased dimentions: x+7 and 4x-1
Perimeter = 2(L + W)
= 2(x+7 + 4x-1)
= 2(5x+6)
= 10x+12
==========
Cheers,
Stan H.

RELATED QUESTIONS
The measure of the area of a rectangle is 6x2+13x-5. If the demensions of nthe rectangle... (answered by ptaylor)

The measure of the area of a rectangle is x2 -19x+48. If the dimensions of the rectangle... (answered by ankor@dixie-net.com)

find the area of a rectangle with length, l = 2x + 3 and width, w = 2x - 3 a. 4x2 b.... (answered by Earlsdon)

The area of a rectangle is represented by A=5x^2+102x+40. Factor the expression to find... (answered by josgarithmetic,addingup)

If the area of a rectangle is x^2+7x+10, what are the dimensions of said... (answered by unlockmath)

If the area of a rectangle is x2 - 7x - 30, find its length and... (answered by ewatrrr)

If the area of a rectangle is represented by x^2+8x+15 and its length is represented by... (answered by Alan3354)

find an expression for the width of a rectangle with the area of 4x2-1, and length of... (answered by lwsshak3)

If the area of a rectangle is 810units^2, what are the dimensions of the... (answered by Fombitz)