Composite shape has an area of 162 cm squared. what is the height of the trapezoid

The height of the trapezoid = 6 cm

Solution:

The composite figure is splitted into two shapes.

One is rectangle and the other is trapezoid.

Area of the rectangle = length × width

                                    = 12 cm × 8 cm

Area of the rectangle = 96 cm²

Area of the trapezoid =

Area of the trapezoid  = 11 h cm²

Area of the composite shape = 162 cm²

⇒ 96 + 11 h  = 162

Subtract 96 on both sides of the equation.

⇒ 11 h  = 162  – 96

⇒ 11 h  = 66

Divide by 11  on both sides of the equation.

⇒ h = 6 cm

The height of the trapezoid = 6 cm

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