Question

Tanya has a garden with a trench around it. The garden is a rectangle with width 2 1/2 m and length 2 m. The trench and garden together make a rectangle with width 3 1/2 m and length 3 m. What is the area of the trench?

Answer 1

5.5 m

Explanation:

Answer 2

The area of a trench is 5.5 m² .

Explanation:

Formula

Area of a rectangle = Length × Breadth

As given

Tanya has a garden with a trench around it.

`The\ garden\ is\ a\ rectangle\ with\ width\ 2(1)/(2)\ m\ and\ length\ 2\ m.`

i.e

`The\ garden\ is\ a\ rectangle\ with\ width\ (5)/(2)\ m\ and\ length\ 2\ m.`

Put in the above formula

`Area\ of\ garden = (5* 2)/(2)`

= 5 m²

As given

`The\ trench\ and\ garden\ together\ make\ a\ rectangle\ with\ width\ 3 (1)/(2)\ m\ and\ length\ 3 m.`

i.e

`The\ trench\ and\ garden\ together\ make\ a\ rectangle\ with\ width\ (7)/(2)\ m\ and\ length\ 3 m.`

`Area\ of\ garden\ with\ trench = (7* 3)/(2)`

`Area\ of\ garden\ with\ trench = (21)/(2)`

= 10.5 m²

Area of the trench = Area of garden with trench - Area of garden

Put the value in the above

Area of the trench = 10.5 m² - 5 m²

= 5.5 m ²

Therefore the area of a trench is 5.5 m² .