Answer:
Please check the explanation.
Step-by-step explanation:
<u>Calculating the area of the outer rectangle:</u>
Given
- The length outer rectangle = l = 3x - 1
- The width of outer rectangle = w = 5x + 2
Thus,
The area of the outer rectangle:





<u>Calculating the area of the inner rectangle:</u>
Given
- The length inner rectangle = l = x + 7
- The width of inner rectangle = w = x
Thus,
The area of the outer rectangle:
A = wl
= x(x+7)
= x² + 7
<u>Calculating the area of the shaded region:</u>
As
The area of the outer rectangle = 15x² + x - 2
The area of the inner rectangle = x² + 7
- The area of the shaded region can be determined by subtracting the area of the inner rectangle from the area of the outer rectangle.
Thus,
shaded region Area = Outer Rectangle Area - Inner Rectangle Area
= 15x² + x - 2 - (x² + 7)
= 15x² + x - 2 - x² - 7
= 14x² + x - 9
Therefore, the Area of the shaded region is: 14x² + x - 9
X+y=11
x is longer than y
x>y
x is 4 less than 4 times y
x=-4+4y
sub back
x+y=11
-4+4y+y=11
-4+5y=11
add 4 to both sides
5y=15
divide both sides by 5
y=3
sub back
x=-4+4y
x=-4+4(3)
x=-4+12
x=8
the pieces are 8ft and 3ft
Answer:
Hi! The correct answer is x= -3 ,-5!
Step-by-step explanation:
<em>~Factor and set each factor equal to 0~</em>
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