The perimeter of a rectangle is twice the sum of its side lengths.
P=2(L+W), we are told that L=3W and P=176 so
2(3W+W)=176
2(4W)=176
8W=176
W=22 ft, since L=3W
L=66 ft
So the yard is 22 feet wide and 66 feet long.
Start with 180.
<span>Is 180 divisible by 2? Yes, so write "2" as one of the prime factors, and then work with the quotient, 90. </span>
<span>Is 90 divisible by 2? Yes, so write "2" (again) as another prime factor, then work with the quotient, 45. </span>
<span>Is 45 divisible by 2? No, so try a bigger divisor. </span>
<span>Is 45 divisible by 3? Yes, so write "3" as a prime factor, then work with the quotient, 15 </span>
<span>Is 15 divisible by 3? [Note: no need to revert to "2", because we've already divided out all the 2's] Yes, so write "3" (again) as a prime factor, then work with the quotient, 5. </span>
<span>Is 5 divisible by 3? No, so try a bigger divisor. </span>
Is 5 divisible by 4? No, so try a bigger divisor (actually, we know it can't be divisible by 4 becase it's not divisible by 2)
<span>Is 5 divisible by 5? Yes, so write "5" as a prime factor, then work with the quotient, 1 </span>
<span>Once you end up with a quotient of "1" you're done. </span>
<span>In this case, you should have written down, "2 * 2 * 3 * 3 * 5"</span>
Answer:
Option (b) is correct.
Step-by-step explanation:
Given: 
We have too choose the correct simplification for the given statement.
Consider
Using property of exponents, 
We have,
Again applying property of exponents 
We have,
Simplify, we have,
we get,
Thus, 
Option (b) is correct.
