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Worksheet: Area of a Trapezoid

In this worksheet, we will practice finding the area of some trapezoidal objects in real life, like cities and yards.

Q1:

Determine the perimeter and area of the accompanying figure.

  • Aperimeter = 1 3 6 m m , area = 4 3 2 m m 2
  • Bperimeter = 1 1 2 m m , area = 3 3 6 m m 2
  • Cperimeter = 1 3 6 m m , area = 3 3 6 m m 2
  • Dperimeter = 1 1 2 m m , area = 4 3 2 m m 2

Q2:

Determine the perimeter and area of the accompanying figure.

  • Aperimeter = 1 5 0 m m , area = 6 0 0 m m 2
  • Bperimeter = 1 1 0 m m , area = 4 5 0 m m 2
  • Cperimeter = 1 5 0 m m , area = 4 5 0 m m 2
  • Dperimeter = 1 1 0 m m , area = 6 0 0 m m 2

Q3:

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

Q4:

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

Q5:

The area of a trapezium 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?

Q6:

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?

  • A45
  • B39
  • C88
  • D49

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 blue one
  • Bthe red one
  • Cnot enough information
  • DBoth are equal.

Q8:

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.

  • A 4 7 4 1 1 mi2
  • B 4 6 2 2 8 mi2
  • C 5 8 2 0 6 mi2
  • D 5 7 0 2 3 mi2
  • E 2 8 5 1 1 mi2

Q9:

The area of a trapezoid is given by 𝐴 = 1 2 ℎ ( 𝑏 + 𝑏 ) 1 2 . Use the formula to find the area of a trapezoid where ℎ = 6 , 𝑏 = 1 4 1 , and 𝑏 = 8 2 .

Q10:

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

Q11:

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.

  • AArea = 18 060 000 cm2. Total cost = $7 224.00
  • BArea = 903 000 cm2. Total cost = $4 704.00
  • CArea = 1 806 000 cm2. Total cost = $3 612.00
  • DArea = 9 030 000 cm2. Total cost = $3 612.00
  • EArea = 11 760 000 cm2. Total cost = $4 704.00

Q12:

The given figure shows a backyard. Determine its area in square centimeters. If the backyard was priced for $4.75 per square meter, determine how much the backyard would cost.

  • AArea = 16 940 000 cm2. Total cost = $8 046.50
  • BArea = 847 000 cm2. Total cost = $5 747.50
  • CArea = 1 694 000 cm2. Total cost = $4 023.25
  • DArea = 8 470 000 cm2. Total cost = $4 023.25
  • EArea = 12 100 000 cm2. Total cost = $5 747.50

Q13:

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

  • A
  • B
  • C
  • D

Q14:

If the area of a trapezoid is 1 377 cm2, and its height is 51 cm, find the length of its middle base.

  • A
    1 326
    cm
  • B 51 cm
  • C 689 cm
  • D 27 cm

Q15:

If the area of a trapezoid is 1 410 cm2, and its height is 30 cm, find the length of its middle base.

  • A
    1 380
    cm
  • B 30 cm
  • C 705 cm
  • D 47 cm

Q16:

Given that 𝑚 ∠ 𝐴 = 6 0 ∘ , find the area of 𝐴 𝐵 𝐶 𝐷 , to the nearest hundredth.

Q17:

is a trapezoid with parallel to and . If , , and , what is the area of the trapezoid? Round to the nearest hundredth, if necessary.

  • A162
  • B810.44
  • C315
  • D405.22
  • E270.15

Q18:

Work out the area of the shape.

Q19:

is a trapezoid, and has three times the area of and . What is ?

  • A33
  • B21
  • C12
  • D13.5

Q20:

is a trapezoid, and has three times the area of and . What is ?

  • A27.8
  • B17.53
  • C10.27
  • D11.55

Q21:

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

Q22:

This trapezoid’s area is 24 570 yd2. What is its height?

Q23:

Find the area of this shape.

Q24:

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

Q25:

In a right trapezium, the parallel sides are 32 and 57, while their perpendicular is 77. What is its area?

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