Length= y in.
Width= (y-6) in.
Perimeter = 2(L*W)
Perimeter=2L+2W
68in.=2(y)+2(y-6)
68=2y+2y-12
68=4y-12
68+12=4y
4y=80
y=20
Length= 20 inches, width =14 inches
The longer leg is the leg adjacent to the larger angle
so 60
length of longer leg = 4 sin60 = 2sqrt(3)
Your answer is 104 square inches because you have to find the area of the top rectangle by multiplying 12 x 7, then find the area of the bottom square by multiplying 5 x 4, and then add both answers together which equals 104 square centimeters ;)
Kriste respone is wrong
<em><u>Solution:</u></em>
Given that,
Kristen was asked to write each of the numbers in the expression 80,000 x 25 using exponents
Her response was (8 x 10 to the power of 3) x 5 to the power of 2
No, the response of Kristen is wrong
Let us first understand about exponents
An exponent refers to the number of times a number is multiplied by itself
Given expression is:

Here, 80000 has 4 zeros
Therefore, it can be raised as 10 power 4

<em><u>Thus the expression becomes:</u></em>

Also, 25 can be written as 5 power 2

Thus given expression is written as (8 x 10 to the power 4) x 5 power to the power 2
Thus Kristen respone is wrong, because he has raised 10 to power 3
3w +2 =7w
-3w -3w
2=4w
Divide each side by 4
1/2=w
Check your answer:
3 (1/2) + 2 = 7 (1/2)
(3/2) + (4/2) = (7/2)
(7/2) = (7/2)
Hope this helps.