The diagram represents a rectangular garden of length 14m and width 10m.
The flower bed is a triangle and the vegetable patch is a trapezium.
The rest of the garden is lawn. Work out the area of the lawn

The diagram represents a rectangular garden of length 14m and width 10m. The flower bed is a triangle and the vegetable patch is a trapezium. The rest of the ga class=

Answer :

sqdancefan

9514 1404 393

Answer:

  lawn area = 68 m²

Step-by-step explanation:

The overall length of the rectangle is 7+7 = 14 m, so its area is ...

  A = LW = (14 m)(10 m) = 140 m²

The area of the trapezium is ...

  A = (1/2)(b1 +b2)h = (1/2)(7 m +5 m)(10 m) = 60 m²

The area of the triangle is ...

  A = 1/2bh = 1/2(3 m)(8 m) = 12 m²

The lawn area is that part of the rectangle that is not flower bed or vegetable patch, so is ...

  lawn area = 140 m² -12 m² -60 m²

  lawn area = 68 m²

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