Lesson Worksheet: Area of a Trapezoid Mathematics • 6th Grade

In this worksheet, we will practice finding the area of a trapezoid using a formula and applying it in finding the area in real life.


Determine the perimeter and area of the accompanying figure.

  • Aperimeter =136mm, area =432mm
  • Bperimeter =112mm, area =336mm
  • Cperimeter =136mm, area =336mm
  • Dperimeter =112mm, area =432mm


The given figure represents a trapezoidal wooden frame. Determine the surface area of its front side.


Arkansas has a shape that is similar to a trapezoid with bases of about 182 miles and 267 miles and a height of about 254 miles. Estimate the area of Arkansas.

  • A58,206 mi2
  • B28,511 mi2
  • C57,023 mi2
  • D47,411 mi2
  • E46,228 mi2


𝐴𝐡𝐢𝐷 is a trapezoid where the lengths of its parallel bases 𝐴𝐷 and 𝐡𝐢 are 36 cm and 48 cm respectively. The length of the perpendicular drawn from 𝐷 to 𝐡𝐢 is 35 cm. Find the area of 𝐴𝐡𝐢𝐷 giving the answer to the nearest square centimetre.


Work out the area of the shape.


Find, to the nearest integer, the area of this composite shape.


A right trapezoid is partitioned into 4 triangles by its diagonals as shown.

Which triangle has the larger area, the red one or the blue one?

  • AThe red one
  • BThe blue one
  • CBoth are equal.
  • DThere is not enough information to answer the question.


In the trapezoid shown, which line segment represents the trapezoid’s height?

  • Aπ‘Ž
  • B𝑏
  • C𝑒
  • D𝑐
  • E𝑑


The area of the trapezoid shown is 28 cm2. Calculate its height.


The parallel sides of a trapezoid are 6 mm and 12 mm long. Its area is 45 mm2. Determine the height of the trapezoid.

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