Question

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.

Answer 1

Answer:

The area of the lawn is 68 $m^{2}$.

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 $m^{2}$

Area of triangle = $\frac{1}{2}$ x base x height

                          = $\frac{1}{2}$ x 3 x 8

                          = 12 $m^{2}$

Area of trapezium = $\frac{1}{2}$ (a + b) h

                              = $\frac{1}{2}$(5 + 7) 10

                               = 60 $m^{2}$

So that;

Area of lawn = 140 - (12 + 60)

                      = 140 - 72

                      = 68 $m^{2}$

The area of the lawn is 68 $m^{2}$.