1
6 cm
Diagram NOT
accurately drawn
9cm
Scm
11 cm
2
6 cm
18 cm
The diagram shows a shape.
All of its corners are right angles.
Work out the area of the shape.

Respuesta :

The area of the shape is 110 square centimeters

From the diagram, the shape can be subdivided into rectangles of the following dimensions:

  • 6cm by 11cm
  • 5cm by 6cm
  • 7cm by 2cm

So, the area of the shape is the sum of the areas of the three rectangles.

This gives

[tex]Area = 6cm \times 11cm + 5cm \times 6cm + 7cm \times 2cm[/tex]

Evaluate the products

[tex]Area = 66cm^2 + 30cm^2 + 14cm^2[/tex]

Add the terms

[tex]Area = 110cm^2[/tex]

Hence, the area of the shape is 110 square centimeters

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