Arectangle's width is 6 feet less than its length. if the area of the rectangle is 247 square feet, what is its length, in feet?

Length is 19 feet.

Width is 13 feet.

Step-by-step explanation:

Let the length of the rectangle be = L feet

The width is 6 feet less than its length, so width is = L-6 feet

The area of the rectangle is 247 square feet, means length x width = 247

Now here a = 1, b = -6 and c = -247

So, putting these in quadratic equation formula, we get

This gives L=19 or -13

As it is a dimension, so we will neglect the negative value.

Hence, L = 19 feet

Width = = 13 feet

89

step-by-step explanation:

x =-.20752

step-by-step explanation:

4^(x+2)=12

4^(x+2)=12

take the log base 4 on each side

log 4 (4^(x+2) = log 4(12)

we know log b(a^y) = y log b (a)

(x+2) log 4(4) = log 4 (12)

x+2 = log 4 (12)

we know   logb c = loga c/loga b

we want to convert to base 10   so a = 10

by default, we do not write the 10   c = 4   and b = 10

log4 10 = log 12/log 4

log4 10 = log 12/ log 4

x+2 = log 12/ log 4

subtract 2 from each side

x +2 -2 = log 12/ log 4 -2

x = 1.79248125 -2

x =-.20752