Name:
Date:
Secondary Math I – 14.4: Area and Perimeter of Trapezoids and Composite Figures
Period:
Mr. Heiner
Determine the perimeter and area of each figure on the coordinate plane. Round your answer to the nearest
hundredth, if necessary.
Ex. Trapezoid ABCD
𝐴′ 𝐵′ = 3, 𝐴′ 𝐷 ′ = 5, 𝐶 ′ 𝐷 ′ = 6
𝐵′ 𝐶 ′ = √(6 − 3)2 + (0 − 5)2
= √32 + (−5)2
= √34
𝑃𝑒𝑟𝑖𝑚𝑒𝑡𝑒𝑟 = 3 + √34 + 6 + 5 ≈ 19.83 𝑢𝑛𝑖𝑡𝑠
1
𝐴𝑟𝑒𝑎 = (𝑏1 + 𝑏2 )ℎ
2
1
1
1
= (3 + 6)5 = (9)(5) = (45) = 22.5 𝑢𝑛𝑖𝑡𝑠 2
2
2
2
1. Trapezoid EFGH
2. Figure PQRST
3. Figure ABCDEF
4. Regular Hexagon ABCDEF with coordinates A (−5√3, 15),
B(0,20), C(5√3, 15), D(5√3, 5), E(0,0)
5. Trapezoid QRST is given
a. Determine the perimeter of trapezoid QRST. Show your
work. Round your answer to the nearest hundredth.
b. Determine the area of trapezoid QRST. Show your work
and explain how you determined your answer.
6. Composite figure ABCDEFG is given.
a. Determine the perimeter of ABCDEFG.
b. Determine the area of ABCDEFG.