1) A Rectangle has a length of 4x+2 and a width of 7x+6. The perimeter is 214. What is the length and width of the rectangle?
A) Length is 42 and the width is 69
B) Length is 38 and the width is 69
C) Length is 42 and the width is 38
D) Length is 100 and the width is 114

the answer is:

the answer is:

to solve the problem, we need to remember the quotient of power property, it's defined by the following relation:

if we have a quotienf of powers that have the same base, we need to keep the same base and subtract the exponent of the denominator power to the exponent of the numerator power.

so, we are given the expression:

then, calculating we have:

hence, the answer is:

have a nice day!