Answer:
The area of the trapezoidal table top is 2.5 m²
Step-by-step explanation:
The area, A, of a trapezoid is given as half times the sum of the parallel side multiplied by the perpendicular distance between them
Therefore, we have;
[tex]A = \dfrac{a + b}{2} \times h[/tex]
The given parameters of the trapezoidal table top are;
The length of the parallel sides = 2 m and 3 m
The length of the perpendicular distance between the parallel sides = 1 m
Where, for the rectangular table top, we have;
'a', and 'b' = The lengths of the parallel sides = 2 m and 3 m respectively
h = The perpendicular distance between the parallel sides = 1 m
By substituting in the values, we have;
[tex]A = \dfrac{2 \ m + 3 \ m}{2} \times 1 \ m = 2.5 \ m^2[/tex]
The area of the trapezoidal table top, A = 2.5 m².
