Question

wooden area is in the shape of a trapezium whose bases measures 128m and 92m
and its height is 40m.A 4m wide walk way is constructed which runs perpendicul

Answer 1

The area of the trapezium is 4240 m²

Explanation:

The bases of the trapezium are 128 m and 92 m

The height of the trapezium = 40 m

The formula for the area of trapezium is given by:

Area =1/2 x [sum of lengths of the parallel sides] x [perpendicular distance between parallel sides]

Therefore, the area of the trapezium-shaped wooden arc (including the walkway)  

= 1/2 x [128 + 92] x 40

= 1/2 x 220 x 40

= 110 x 40

= 4400 m²

It is given that a walkway of 4 m wide and perpendicular to the bases of the trapezium is constructed .

So, the area of the walkway = 4 x 40 = 160 m²

[Formula: area of rectangle = length x breadth]

Thus, the area of the trapezium-shaped wooden arc except the walkway is given by:

= [Area of the trapezium-shaped wooden arc (including the walkway)] – [Area of the walkway]

= 4400 – 160

= 4240 m²

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