Year 8

LLL - Area

Area of Trapeziums, Rhombuses, and Kites

Rules first, then one question per page: identify the parts, substitute them into the formula, and calculate the area.

Ready 0 / 105

Year 8

Three area rules, used carefully

Students work through trapeziums first, then rhombuses, then kites. Each shape starts with identification questions before the 30 calculation questions.

15identification questions
90calculation questions
1question per page

Trapezium

a b h

Average the two parallel sides, then multiply by the height.

Shortcut: area = ((a + b) / 2) x h.

Rhombus

p q

The diagonal rectangle is p by q. The rhombus takes half of it.

Shortcut: area = (p x q) / 2.

Kite

p q

The diagonal rectangle is p by q. The kite takes half of it.

Shortcut: area = (p x q) / 2.

Rules

Know what the letters mean before calculating

The calculation is only reliable if the correct measurements are placed into the formula. This lesson makes students identify the parts before calculating area.

Trapezium

a = 6 b = 14 h = 5
1. Parallel sides: 6 and 14.
2. Average side length: (6 + 14) / 2 = 10.
3. Area: 10 x 5 = 50 cm^2.
Area = average parallel side x height

Rhombus

p = 10 q = 12
1. Diagonals: p = 10, q = 12.
2. Diagonal rectangle: 10 x 12 = 120.
3. Rhombus is half: 120 / 2 = 60 cm^2.
Area = half of the diagonal rectangle

Kite

p = 9 q = 14
1. Diagonals: p = 9, q = 14.
2. Diagonal rectangle: 9 x 14 = 126.
3. Kite is half: 126 / 2 = 63 cm^2.
Area = half of the diagonal rectangle
Trapezium Identify
Question 1 of 105

Identify side a

Click the correct measurement in the diagram.

Summary

Quadrilateral area journal

Progress is saved in this browser and, during a live class session, sent to the teacher dashboard.

0 / 105questions complete
0 / 35trapezium
0 / 35rhombus
0 / 35kite