
The area of the metal plate.

Answer to Problem 78A
Area of stamping
Explanation of Solution
Concept used:
The metal sheet is divided into three trapeziums and a rectangle as shown.
The area of three trapeziums is added and the area of rectangle is subtracted from the metal plate to find the required area.
Calculation:
Area of whole rectangle
Here, length l = 46 ft and Width w = 42 ft
By substituting the above values in the formula;
Area of trapezium (2),
Here, height h = 6.50 ft, base b1= 9 ft and base b2= 14 ft
Since the dimensions of trapezium (2) and (3) are same thus, from symmetry
The area of trapezium (3),
Again, Area of trapezium (4),
Here, height h = 6.50 ft, base b1= 11 ft and base b2= 16 ft
And,
The area of rectangle,
Here, length l = 12.50 ft and
Width w = 42 − 28 = 14 ft
By substituting the above values in the formula;
Now, Adding the equations (1), (2), (3) and (4) and subtract equation (5) to calculate the required area of metal plate.
Thus,
Conclusion:
Thus, the area of stamping is
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Chapter 59 Solutions
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