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

The Diagram Represents A Rectangular Garden Of Length 14 M And Width 10 M The Flower Bed Is A Triangle And The Vegetable Patch Is A Trapezium The Rest Of The Ga class=

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Answer:

The area of the lawn is 68 [tex]m^{2}[/tex].

Step-by-step explanation:

Area of lawn = Area of garden - (Area of triangle + Area of trapezium)

Area of garden = length x width

                             = 14 x 10

                            = 140 [tex]m^{2}[/tex]

Area of triangle = [tex]\frac{1}{2}[/tex] x base x height

                          = [tex]\frac{1}{2}[/tex] x 3 x 8

                          = 12 [tex]m^{2}[/tex]

Area of trapezium = [tex]\frac{1}{2}[/tex] (a + b) h

                              = [tex]\frac{1}{2}[/tex](5 + 7) 10

                               = 60 [tex]m^{2}[/tex]

So that;

Area of lawn = 140 - (12 + 60)

                      = 140 - 72

                      = 68 [tex]m^{2}[/tex]

The area of the lawn is 68 [tex]m^{2}[/tex].

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