Answer:
[tex]10cm^2[/tex]
Step-by-step explanation:
We are given that
Two parallel sides of trapezoid are
[tex]a=1\frac{1}{2}cm=\frac{3}{2}=1.5cm[/tex]
[tex]b=3\frac{1}{2}=3+0.5=3.5 cm[/tex]
Height of trapezoid, h=4 cm
We have to find the area of the trapezoid.
We know that
Area of trapezoid=[tex]\frac{1}{2}(a+b)h[/tex]
Where a and b are two parallel sides
h=Height of trapezoid
Using the formula
Area of trapezoid=[tex]\frac{1}{2}(1.5+3.5)\times 2[/tex]
Area of trapezoid=[tex]10cm^2[/tex]