Question

Usha thinks that the area of the development will be greater than the total area of 50 football pitches.

Usha knows
• a football pitch is rectangular 100m by 50m
• 1 mile = 1600m.

Answer 1

Usha is correct

Explanation:

See attachment

Given

Dimension of the development

`Height = (1)/(2)\ mile`

`Base = (1)/(2)\ mile`

Dimension of a football field

`Length = 100m`

`Width = 50m`

First, we calculate the area of the development.

Because it is triangular in shape, the area is:

`Area = (1)/(2) * Height * Base`

`Area = (1)/(2) * (1)/(2)mile * (1)/(2)mile`

Convert mile to meter

`Area = (1)/(2) * (1)/(2)* 1600m * (1)/(2) * 1600m`

`Area = (1)/(2) * 800m * 800m`

`Area = 400m * 800m`

`Area = 320000m^2`

The area of 50 football pitch is then calculated as:

`Area = 50 * Length * Width`

`Area = 50 * 100m * 50m`

`Area = 250000m^2`

By comparison:

`320000 > 250000`

Hence, Usha's thought is correct