Adjacent angles are the angles that share a common vertex but no common interior points.
Answer:
The width of the piece of construction paper is 12 inches.
Step-by-step explanation:
The length of the construction paper= 4 3/16 in log

⇒Length of the paper = 4.1875 inches
Let the width of the paper = w inches
The area of the paper = 50 1/4 sq. inches.

⇒Area of the paper = 50.25 sq. inches
Now, Area of the paper = LENGTH x WIDTH
or, 50.25 sq. inches = 4.1875 inches x w
⇒ w = 50.25 / 4.1875 = 12 in
or, w = 12 in
Hence, the width of the piece of construction paper is 12 inches.
The rate of increase is found by differentiating with resepect to time. The product rule comes into play here.
A = LW
dA/dt ≈ (dL/dt)·W + L·(dW/dt)
... = (6 cm/s)·(5 cm) + (7 cm)·(3 cm/s)
... = 30 cm²/s + 21 cm²/s
... = 51 cm²/s . . . . rate of area increase