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Lesson: Finding the Area of a Trapezoid

Question Video: Finding the Area of a Composite Figure Involving Triangles and Rectangles

02:24

Worksheet: Finding the Area of a Trapezoid • 19 Questions

Q1:

The area of a trapezoid is given by . Use the formula to find the area of a trapezoid where , , and .

Q2:

Determine the perimeter and area of the accompanying figure.

  • Aperimeter , area
  • Bperimeter , area
  • Cperimeter , area
  • Dperimeter , area

Q3:

Determine the perimeter and area of the accompanying figure.

  • Aperimeter , area
  • Bperimeter , area
  • Cperimeter , area
  • Dperimeter , area

Q4:

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

Q5:

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

Q6:

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

Q7:

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

Q8:

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

Q9:

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 mi2
  • B mi2
  • C mi2
  • D mi2
  • E mi2

Q10:

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

Q11:

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

Q12:

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?

  • ACharlotte
  • BJames

Q13:

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

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

Q14:

The area of a trapezium is 102, and the lengths of its parallel sides are 20 and 14. What is its height?

Q15:

The area of a trapezium is 228. If one of its parallel sides is 48 and its height is 6, what is the length of the other parallel side?

Q16:

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

  • A13.5
  • B21
  • C12
  • D33

Q17:

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

  • A11.55
  • B17.53
  • C10.27
  • D27.8

Q18:

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

Q19:

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