A and B are vertical angles. If m A = (3x+3)° and m B= (4x-8)°, then find the value of x.
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Area of the figure = 806.5 in²
Solution:
Length of the rectangle = 16 in
Breadth of the rectangle = 9 in
Area of the rectangle = length × breadth
= 16 × 9
Area of the rectangle = 144 in²
Base of the triangle = 31 in
Height of the triangle = 20 in
Area of the triangle =
Area of the triangle = 310 in²
Parallel sides of the trapezium = 16 in and 31 in
Height of the trapezium = 35 – 20 = 15 in
Area of the trapezium =
Area of the trapezium = 352.5 in²
Area of the figure = Area of rectangle + Area of triangle + Area of trapezium
= 144 in² + 310 in² + 352.5 in²
Area of the figure = 806.5 in²
Since, the angle between the machine and angle of press is as shown in the attached image.
Therefore, the actual weight lifted by the power lifter is given by
where 'w' stands for the weight being lifted and is the angle of press.
Now,
actual weight lifted by the power lifter =
= pounds.
