Answer:
2. area = 504 cm^2
3. x = 30°
Step-by-step explanation:
2. The figure can be divided across the middle into a rectangular bottom part and a triangular top part. The triangle will have a base length of 21 cm and a height of 32 -16 = 16 cm. Its area is ...
triangle area = (1/2)bh = (1/2)(21 cm)(16 cm) = 168 cm^2
The area of the rectangle is the product of its base (21 cm) and height (16 cm). Its area is ...
rectangle area = bh = (21 cm)(16 cm) = 336 cm^2
Then the total area of the figure is the sum of the areas of its parts:
total area = triangle area + rectangle area
= (168 cm^2) + (336 cm^2) = 504 cm^2
A plane figure has no volume. The volume is zero.
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3. The angle whose measure is 4x is supplementary to the angle marked 60°, so is 180° -60° = 120°. That means ...
4x = 120°
x = 120°/4 = 30° . . . . divide by the coefficient of x
The value of x is 30°.
