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oksano4ka [1.4K]
3 years ago
13

Work out the area of the lawn.

Mathematics
2 answers:
s2008m [1.1K]3 years ago
6 0
Area of Flower Bed:
(b*h)/2
(3*8)/2 = 12m^2

Area of Vegetable Patch:
((b1 + b2)*h)/2
((5+7)*10)/2 = 60m^2

Area of Whole Garden:
l*w
14*10 = 140m^2

Whole Garden - Vegetable Patch - Flower Bed = Lawn
140 - 60 - 12 = 68m^2

Area of Lawn: 68m^2

Hope this helps.
Thepotemich [5.8K]3 years ago
4 0

Answer:

68 m^2

Step-by-step explanation:

Area of The entire enclosure ( rectangle)

  • Area rectangle = L * W
  • L = 7 + 7 = 14
  • W = 10
  • Area rectangle = 10*(7 + 7)
  • Area of rectangle = 10 * 14
  • Area of rectangle = 140 square meters.

Area of the triangle

  • Area of the triangle = 1/2 b*h
  • Area of the triangle = 1/2 * 8 * 3
  • Area of the triangle= 12 square meters.

Area of the Trapezoid

  • h = 10
  • b1 = 5
  • b2 = 7

<em><u>Formula</u></em>

  • Area = (b1 + b2)*h /2

<em><u>Solution</u></em>

  • Area = (5 + 7)*10/2
  • Area = 12*10/2
  • Area = 60

Area of the Lawn

  • Area of the Lawn = rectangle area - triangle area - trapezoid area
  • Area of the lawn = 140 - 12 - 60
  • Area of the lawn = 68 m^2
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