Showing the World What We Can Do, in the Most Useful Way Possible

Efofex Teacher Resource Project

Showing the world what we can do, in the most useful way possible.

Area

Basic Area Formula Sheet

Square
/ / Area = the length of the side squared
Rectangle
/ / Area = length multiplied by width
Triangle
/ / Area = half of the length of the base multiplied by the perpendicular height
Circle
/ / Area = pi multiplied by the radius of the circle squared
Parallelogram
/ / Area = the length of the base multiplied by the perpendicular height.
Trapezium
/ / Area = the length of the base multiplied by the perpendicular height.

Question

Calculate the area of the shaded shape where the radius of the larger circle (OQ) is 10cm.

Next, we will have a suggested marks line.

[24 Marks]

How We Drew The Diagram

Solution

Question

Calculate the area of this shape

Next, we will have a suggested marks line.

[25 Marks]

How We Drew The Diagram

Solution

A(shape) = A(rectangle) + A(trapezium) – A(square)

Rectangle

Square

Trapezium

Question

Find the area of this teardrop shape where the 14m side is tangential to the circular arc.

Next, we will have a suggested marks line.

[27 Marks]

How We Drew The Diagram

Solution

Question

Find the area of the shaded region bounded by these four congruent circles

Next, we will have a suggested marks line.

[24 Marks]

How We Drew The Diagram

Solution

Question

Find the area of the shaded regions

Next, we will have a suggested marks line.

[23 Marks]

How We Drew The Diagram

Solution

Desired area is twice the area shown above.

Question

Find the area of this shape. You can assume that sides that appear parallel are parallel.

Next, we will have a suggested marks line.

[23 Marks]

How We Drew The Diagram

Solution

This is one way of subdividing the shape. Other divisions are acceptable

Question

Find the area of this shape that is defined by quarter circles that have centres and end points that lie on a 3cm grid.

Next, we will have a suggested marks line.

[26 Marks]

How We Drew The Diagram

Solution

There are many ways of dissecting this area, all of which are equally valid. Any valid approach should be awarded full marks.