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Elementary Math • Grade 5

Area of a Trapezoid Worksheet: Grade 5

Focus: Whole numbers, formula substitution, and grid counting. Standard: CCSS.MATH.CONTENT.5.G / 6.G

Key Formula Reference
Area = ½ × (Base₁ + Base₂) × Height
Add the two parallel bases first, multiply by the height, and divide by 2.
Question 1
[1 Point]

A trapezoid has a top base of 4 cm, a bottom base of 8 cm, and a vertical height of 5 cm. What is its area?

Show Answer & Steps
Step 1: Add bases: 4 + 8 = 12 cm
Step 2: Multiply by height: 12 × 5 = 60
Step 3: Divide by 2: 60 / 2 = 30 cm²
Question 2
[1 Point]

Find the area of a right trapezoid where base a = 6 inches, base b = 10 inches, and the perpendicular straight side has height h = 4 inches.

Show Answer & Steps
Area = ½ × (6 + 10) × 4 = ½ × 16 × 4 = 8 × 4 = 32 in²
Question 3
[1 Point]

A garden flowerbed is shaped like a trapezoid. The two parallel fences are 7 meters and 11 meters long. The walking distance straight across from fence to fence is 6 meters. Calculate the area of the flowerbed.

Show Answer & Steps
Area = ½ × (7 + 11) × 6 = ½ × 18 × 6 = 9 × 6 = 54 m²
Question 4
[1 Point]

An isosceles trapezoid has bases measuring 5 feet and 15 feet. The perpendicular height between bases is 8 feet. The side legs are 9.4 feet each. What is the area? (Hint: Be careful which numbers you use!)

Show Answer & Steps
Note: The slant legs (9.4 ft) are not needed for area!
Area = ½ × (5 + 15) × 8 = ½ × 20 × 8 = 10 × 8 = 80 ft²
Question 5
[1 Point]

On a grid where each square represents 1 square meter, a trapezoid has base 1 spanning 3 grid units, base 2 spanning 9 grid units, and altitude of 4 grid units. Find its area in square meters.

Show Answer & Steps
Area = ½ × (3 + 9) × 4 = ½ × 12 × 4 = 6 × 4 = 24 m²
Question 6
[1 Point]

Two trapezoids are taped together along their slant edges to form a single parallelogram with base 16 cm and height 7 cm. If both trapezoids are identical, what is the area of just one of the trapezoids?

Show Answer & Steps
Area of whole parallelogram = 16 × 7 = 112 cm²
Area of 1 trapezoid = 112 / 2 = 56 cm²