Question

the wooden area is in the shape of trapezium whose bases measure 128m and 92m and its height is 40m. A 4m wide walk way is constructed which runs perpendicular from the two bases. Calculate the area of trapezium execpt the wooden walk way

Answer 1

Answer:

Step-by-step explanation:

ear Student

Area of trapezium = ½ x (sum of lengths of the parallel sides) x perpendicular distance between parallel sides

Area of trapezium = 1/2 x (128 + 92) x 40 = 4400 m2

Area of wooden walk way (area of rectangle) = 40 x 4 = 160 m2

As asked in the question,

Area of trapezium = 4400 - 160 = 4240 m2

Answer 2

The area of trapezium except the wooden walk way is 4240 m².

Step-by-step explanation:

Consider the provided information.

We need to calculate the area of trapezium except the wooden walk way.

First calculate the area of trapezium then subtract the are of wooden walk way.

The area of trapezium is: $A=\frac{a+b}{2}h$

Where a and b are the base and h is the height.

Substitute a=128, b=92 and h=40.

$A_{Trapezium }=\frac{128+92}{2}\times 40$

$A_{Trapezium }=110\times 40$

$A_{Trapezium }=4400$

Now calculate the area of wooden walk.

The walk way is 4 meter wide and 40 meter long.

$A_{walk}=40\times 4$

$A_{walk}=160$

Now subtract the area as shown:

$A=4400-160$

$A=4240$

Hence, the area of trapezium except the wooden walk way is 4240 m².

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