The area is the length times the width. Find area of shapes by counting unit squares. Some shapes will require combining partial square units to find area.<span>
For example - </span><span>A rectangle is 5 centimeters long and 4 centimeters wide. What is its area? </span>
Area = Length * width
The length is <span><span>5</span></span> centimeters. The width is <span><span>4</span></span> centimeters. So the area is <span><span>5 times </span>4</span> square centimeters.
= 20 square centimeters
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 = 45.
Since opposite exterior angles are congruent, you can set the 2 values equal to each other. When you solve for x, you should get 45.