The shape of the top surface of a table is trapezium.

Question:

The shape of the top surface of a table is trapezium. Its parallel sides are 1 m and 1.4 m and the perpendicular distance between them is 0.9 m. Find its area.

Solution:

Area of a trapezium $=\frac{1}{2} \times($ Sum of parallel sides $) \times($ Distance between them $)$

$=\left\{\frac{1}{2} \times(1+1.4) \times 0.9\right\} \mathrm{m}^{2}$

$=\left(\frac{1}{2} \times 2.4 \times 0.9\right) \mathrm{m}^{2}$

$=(1.2 \times 0.9) \mathrm{m}^{2}$

$=1.08 \mathrm{~m}^{2}$

Hence, the area of the top surface of the table is $1.08 \mathrm{~m}^{2}$.

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