The figure shows a composite of two rectangles, all angles measure 90 degrees. What is the length of the smaller rectangle listed as length "a" (1 point) Responses 3 3 4 4 5 5 9 9 The length cannot be determined The length cannot be determined Question 2 In the same rectangles shown above, what is the length of side "b"?(1 point) Responses 4 4 3 3 5 5 7 7 9 9 Question 3 In the same rectangles shown above, what is the area of the shaded region?(2 points) Responses 51 sq. units 51 sq. units 36 sq. units 36 sq. units 45 sq. units 45 sq. units 32 sq. units 32 sq. units 63 sq. units 63 sq. units Skip to navigation
To solve this problem, we need to first find the lengths of sides in the smaller rectangle.
From the image, we can see that the larger rectangle has sides of 9 and 5 units. Since the smaller rectangle is a part of the larger rectangle, it must have the same width as the larger rectangle, which is 5 units.
Now, to find the length of side "a", we need to subtract the width of the smaller rectangle from the length of the larger rectangle. So, \(a = 9 - 5 = 4\) units.
For side "b", we can see that it is along the length of the larger rectangle, so it is also 9 units.
To find the area of the shaded region, we need to find the area of the larger rectangle and then subtract the area of the smaller rectangle.
Area of larger rectangle = 9 * 5 = 45 sq. units
Area of smaller rectangle = 4 * 5 = 20 sq. units
Area of shaded region = 45 - 20 = 25 sq. units
Therefore, the area of the shaded region is 25 sq. units.