Question

Maths Q12

Work out the area of the shape
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Answer 1

68 square units

Explanation:

This is a composite figure, and you can break it down into a rectangle and a triangle.

Area of the Triangle:

A = 1/2Bh

• The base of the triangle is 8 cm
• The height is 12-5 which is 7. (You subtract height of rectangle from total height)
• Now plug in the values. (8x7)/2 = 56/2 = 28

Area of the rectangle:

A= Bh

• The base of the rectangle is 8 cm
• The height of the rectangle is 5 cm
• Now plug in the values (8x5) = 40

Area of Total Shape:

Area of Triangle + Area of Rectangle

• Plug in your values: 28 + 40 = 68

The area of the total composite figure is 68 square units

Hope this helps!

Answer 2

68

Explanation:

First solve for the area of the rectangle

Area = L · W

Area = 5 · 8

Area = 40 cm^2

Then solve for the area of the triangle

Area =
`(1)/(2) bh`

Area =
`(1)/(2) (8)(7)`

Area =
`(1)/(2) (56)`

Area = 28 cm^2

Finally add the area of the rectangle and the area of the triangle

40 + 28 = 68 cm^2