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
Well, they're both divisible by 2 (24 ÷ 2 = 12) (90 ÷ 2 = 45)
Answer:
374/105.
Step-by-step explanation:
1/3 of 8 * 2/7
= 1/3 * 8 * 2/7
= 8/3 * 2/7
= 16/21.
2/5 of 7
= 2/5 * 7
= 14/5.
Adding 16/21 + 14/5
= 80 / 105 + (14*21) / 105
= 80/105 + 294/105
= 374/105.
Answer:
6
Step-by-step explanation:
If p equals 15 then plug 15 in for p and take 15-9=6. pretty sure that's what they are looking for there.