Question

Find the Area of the Trapezoid

Answer 1

• Height=2+1=3units
• Parallel sides=2units and 5units

Area:-

• 1/2(Sum of parallel sides) (Height)
• 1/2(2+5)(3)
• 1/2(21)
• 10.5units°2

Answer 2

`A=\boxed{10.5}\; \;\rm sq. \; un.`

Explanation:

Area of a Trapezoid

`\boxed{A=(1)/(2)(a+b)h}`

where:

• a and b are the bases of the trapezoid (the parallel sides).
• h is the height of the trapezoid (perpendicular to the bases).

From inspection of the given diagram:

• a = SK = 2 units
• b = OC = 5 units
• h = OS = 3 units

Substitute the found values into the formula and solve for A:

`\implies A=(1)/(2)(2+5)(3)`

`\implies A=(1)/(2)(7)(3)`

`\implies A=(7)/(2)(3)`

`\implies A=(21)/(2)`

`\implies A=10.5\; \;\rm sq. \; un.`