Answer:
87.5 square inches
Step-by-step explanation:
(For Diagram,Please Find in Attachment)
Given, in diagram of the belt Knuckle there are 4 Triangles (2 are of same dimensions & another 2 are of same dimensions) and a Rectangle .
Now For Area of belt Knucle, We have to First Calculate the area of 4 triangles and Area of Rectangle.
∴ Area of 2 Triangle with given dimensions ( height = 2.5 inches & base = 9 inches )
Area = 2×(1/2×b×h) ⇔ 2×(1/2×9×2.5)
Area= 22.5 square inches
∴ Area of another 2 triangle with given dimensions ( height = 5 inches & base = 4 inches )
Area = 2×(1/2×b×h) ⇔ 2×(1/2×4×5)
Area= 20 square inches
∴Area of Rectangle with given dimensions ( Length = 9 inches & Width = 5 inches )
Area= length × Width ⇔ 9×5 ⇒ 45 square inches
Now, Area of belt Knucle=Sum of Area of 4 Triangles + Area of Rectangle
Area of belt Knucle = 87.5 square inches
