SOLUTION: if the length and width of 4 x 2 inc rectangle are each increased by the same amount. The area of the new rectangle will be twice the old. What are the dimensions to two decimal pa
Algebra.Com
Question 782694: if the length and width of 4 x 2 inc rectangle are each increased by the same amount. The area of the new rectangle will be twice the old. What are the dimensions to two decimal palaces of the new rectangle?
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
if the length and width of 4 x 2 inc rectangle are each increased by the same amount. The area of the new rectangle will be twice the old. What are the dimensions to two decimal places of the new rectangle?
--------
New dimensions:
length = 4+x
width = 2+x
-----
New Area:
(4+x)(2+x) = x^2+6x+8
--------
Equation::
new area = 2*old area
x^2+6x+8 = 2(4*2)
x^2 + 6x -8 =0
------
x = [-6 +-sqrt(36-4*-8)]/2
x = [-6 +- sqrt(68)]/2
Positive solution:
x = -3 + (1/2)sqrt(68) = 5.25
-----
New Dimensions:
length: 4 + x = 9.25
width:: 2 + x = 7.25
==========================
Cheers,
Stan H.
=========
RELATED QUESTIONS
the length and width of a rectangle are 6 m and 4 m. when eacch dimension is increased by (answered by mananth)
A rectangular is 8 feetlong 6 feet wide. if each side increased by the same
amount,x,the (answered by Earlsdon)
a rectangle is 4 inches wide by 7 inches long. when the length and width are increased by (answered by checkley77)
the length of a rectangle is 6cm and the width 3 cm. if both are increased by the same... (answered by Horlaye)
If the length and width of rectangle R are each increased by 1, the area of the new... (answered by davethejackal)
The length and width of a rectangle are 7m and 5m, respectively. When each dimension is... (answered by ewatrrr,Stitch)
The area of a rectangle is x^2 - x - 6. The length and width are increased by 9. Find... (answered by Alan3354)
3) The length of a rectangle is 2 in. more than the width. If the length and width are... (answered by ankor@dixie-net.com)
The dimensions of a rectangle are 9cm and 4cm. If the length and the width are both... (answered by JulietG)