Worksheet: Area of a Trapezoid

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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 area of a trapezoid is 1,900. If one of its parallel sides is 50 and its height is 50, what is the length of the other parallel side?

Q3:

A trapezoid has area 1,760 and the distance between its parallel sides is 40. If one parallel side is 39, what is the other side?

Q4:

The area of a trapezoid is given by 𝐴=12β„Ž(𝑏+𝑏). Use the formula to find the area of a trapezoid where β„Ž=6, 𝑏=14, and 𝑏=8.

Q5:

In a right trapezoid, the parallel sides are 15 and 33, while their perpendicular is 44. What is its area?

Q6:

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

Q7:

𝐴𝐡𝐢𝐷 is a trapezoid, and 𝐸𝑂𝐢𝐷 has three times the area of 𝐴𝐡𝑂𝐸 and 𝐸𝐴=4.5cm. What is π‘₯?

Q8:

The parallel sides of a trapezoid have lengths 82 and 70. If the height is 100, what is its area?

Q9:

The area of a trapezoid is 102, and the lengths of its parallel sides are 15 and 10. What is its height?

Q10:

James said that he can draw several different trapezoids with a height of 2 and an area of 29. Charlotte disagrees and said that there is only one trapezoid with height 2 and area 29. Who is correct?

  • AJames
  • BCharlotte

Q11:

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

Q12:

This trapezoid’s area is 30,000 yd2. What is its height?

Q13:

The given figure shows a backyard. Determine its area in square centimeters. If the backyard was priced for $4.00 per square meter, determine how much the backyard would cost.

  • AAreacm=11,760,000, totalcost=$4,704.00
  • BAreacm=903,000, totalcost=$4,704.00
  • CAreacm=9,030,000, totalcost=$3,612.00
  • DAreacm=1,806,000, totalcost=$3,612.00
  • EAreacm=18,060,000, totalcost=$7,224.00

Q14:

A trapezoid of area 132 and base 20 has height 11. What is the length of the other base?

Q15:

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.

Q16:

𝐴𝐡𝐢𝐷 is a trapezoid with 𝐴𝐷 parallel to 𝐡𝐢 and π‘šβˆ π΄=90∘. If 𝐡𝐢=9cm, 𝐴𝐷=18cm, and 𝐡𝐷=35cm, what is the area of the trapezoid? Round to the nearest hundredth, if necessary.

Q17:

Work out the area of the shape.

Q18:

Find the area of this shape.

Q19:

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

Q20:

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.
  • Dnot enough information

Q21:

Determine the perimeter and area of the accompanying figure.

  • Aperimeter =150mm, area =600mm
  • Bperimeter =110mm, area =450mm
  • Cperimeter =150mm, area =450mm
  • Dperimeter =110mm, area =600mm

Q22:

𝐴𝐡𝐢𝐷 is a trapezoid where 𝐴𝐷βˆ₯𝐡𝐢, 𝐴𝐷=22cm, and 𝐡𝐢=13cm. If the area of △𝐴𝐡𝐢 is 65 cm2, what is the area of the trapezoid?

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