Question

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Answer 1

The sailboat has 2 right angle triangles and a rectangle

First lets find the area of the rectangle then each one of the triangles

Area of rectangle = Length × Height

Area of rectangle = 12 × 2.5

Area of rectangle = 30 cm²

Now lets find the area of triangle on the right,

Area of triangle = Height × base ×
`(1)/(2)`

Area of triangle = 6 × 3 ×
`(1)/(2)`

Area of triangle = 18 ×
`(1)/(2)`

Area of triangle =
`(18)/(2)`

Area of triangle = 9 cm²

Now lets find the area of the triangle on the left,

Area of triangle = Height × base ×
`(1)/(2)`

Area of triangle = 6 × 2 ×
`(1)/(2)`

Area of triangle = 12 ×
`(1)/(2)`

Area of triangle =
`(12)/(2)`

Area of triangle = 6 cm²

Now lets find the total area of the sailboat,

Total area = Area of rectangle + Area of triangle on the right + Area of triangle on the right

Total area = 30 + 9 + 6

Total area = 39 + 6

Total area = 65 cm²

Therefore the total area of the sailboat is 65 cm²

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Answer 2

45 cm

Explanation:

Area of a triangle:

A = 1/2bh

b = 3 + 2 = 5

A = 1/2(5)(6)

A = 15

Area of a rectangle:

A = bh

A = 12*2.5

A = 30

Combined:

30 + 15 = 45