Question

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Answer 1

Break at centre into triangle and rectangle

Area of rectangle

• Length ×Breadth
• 14(3x)
• 42x

Area of triangle

• 1/2BH
• 1/2(14-9)(5x-3x)
• 1/2(5)(2x)
• 5x

Total area

• 42x+5x
• 47x units²

Answer 2

47x (square units)

Explanation:

The given shape is made up of:

• a rectangle
• a triangle

Area of the rectangle

= width × length

= 3x × 14

= 42x

Area of the triangle

= 1/2 × base × height

= 1/2 × (14 - 9) × (5x - 3x)

= 1/2 × 5 × 2x

= 5x

Area of given shape

= area of rectangle + area of triangle

= 42x + 5x

= 47x (square units)