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

The area of the lawn is 68
`m^(2)`.

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 =
`(1)/(2)` x base x height

=
`(1)/(2)` x 3 x 8

= 12
`m^(2)`

Area of trapezium =
`(1)/(2)` (a + b) h

=
`(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)`.