Area of parallelograms

Lesson details

Key learning points

1. In this lesson, we will learn to calculate the area of parallelograms by rearranging rectangles and we will arrive at a formula for the area of a parallelogram.

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5 Questions

Q1.
Fill in the gap: Rectilinear shapes are polygons where all sides meet at a __________________.
obtuse angle
rectangles
vertex
Q2.
Fill in the gap: We can find the area of rectilinear shapes by splitting the shape into two or more _________________.
obtuse angles
right-angles
vertices
Q3.
Fill in the gap: One way in which the shape could be split is shown. The area of this shape can be calculated by the following calculation: 12 × ___ + 6 × 7
12
6
7
Q4.
What is the area of this rectilinear shape?
Correct answer: 102 cm²
132 cm²
42 cm²
60 cm²
Q5.
Find the area (A) and perimeter (P) of this rectilinear shape.
A = 143 cm², P = 48 cm
A = 48 cm², P = 80 cm
Correct answer: A = 80 cm², P = 48 cm
A = 80 cm², P = 80 cm

5 Questions

Q1.
Fill in the gaps, in the correct order: The area of a parallelogram is equivalent to the area of a ____________ with the same width and _______________ height.
Correct answer: rectangle, perpendicular
rectangle, slant
triangle, perpendicular
triangle, slant
Q2.
Find the area of this parallelogram.
16 cm
16 cm²
32 cm²
Correct answer: 63 cm²
Q3.
Find the area of this parallelogram.
145 cm²
Correct answer: 154 cm²
25 cm
50 cm
Q4.
Find the area of this parallelogram.
Correct answer: 56 m²
672 m²
84 m²
96 m²
Q5.
Find the area of this parallelogram.
0.375 m²
3.375 m²
Correct answer: 4.5 m²
6.75 m²