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Question
The cross section of a piece of metal 2 m in length is shown. Calculate the area of cross section.
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Solution
Divide the figure into 1 rectangle and 1 triangle.
Dimensions of the rectangle:
length = 8cm
breadth = 6cm
Area of rectangle
= length x breadth
= 8 x 6
= 48cm2 ...(1)
Dimensions of the triangle:
base
= 12 - 6
= 6cm
height
= 8 - 5
= 3cm
Area of a triangle
= `(1)/(2) xx "b" xx "h"`
= `(1)/(2) xx 6 xx 3`
= 9cm2 ...(2)
Area of the cross section
= 48 + 9
= 57cm2
∴ Area of the cross section is 57cm2.
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