SOLUTION: a rectangular patio measuring 6 meters by 8 meters s to be increased in size to an area measuring 150 square meters. If both the width and the length are to be increased by the sam
Question 292757: a rectangular patio measuring 6 meters by 8 meters s to be increased in size to an area measuring 150 square meters. If both the width and the length are to be increased by the same amount, what is the number of meters, to the nearest tenth, that the dimensions will be increased? Answer by ankor@dixie-net.com(22740) (Show Source):
You can put this solution on YOUR website! a rectangular patio measuring 6 meters by 8 meters s to be increased in size to
an area measuring 150 square meters.
If both the width and the length are to be increased by the same amount,
what is the number of meters, to the nearest tenth, that the dimensions will be increased?
:
Let x = increase in meters for the length and the width to increase area to 150
:
(x+8)(x+6) = 150
FOIL
x^2 + 6x + 8x + 48 = 150
:
x^2 + 14x + 48 - 150 = 0
:
x^2 + 14x - 102 = 0
:
Use the quadratic formula to find x
a=1; b=14; c=-102
:
do the math here, the positive solution: x = 5.3 meters increase
