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.

Q1:

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

Q2:

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

Q3:

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

Q4:

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.

Q5:

Work out the area of the shape.

Q6:

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

Q7:

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.

Q8:

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

  • Aπ‘Ž
  • B𝑏
  • C𝑒
  • D𝑐
  • E𝑑

Q9:

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

Q10:

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

Practice Means Progress

Download the Nagwa Practice app to access questions, unit-exams, and flashcards for your school courses.

scan me!

Nagwa uses cookies to ensure you get the best experience on our website. Learn more about our Privacy Policy.