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mars1129 [50]
3 years ago
8

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

Mathematics
1 answer:
tangare [24]3 years ago
5 0

Answer:

Usha is correct

Step-by-step explanation:

See attachment

Given

Dimension of the development

Height = \frac{1}{2}\ mile

Base = \frac{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 = \frac{1}{2} * Height * Base

Area = \frac{1}{2} * \frac{1}{2}mile * \frac{1}{2}mile

Convert mile to meter

Area = \frac{1}{2} * \frac{1}{2}* 1600m * \frac{1}{2} * 1600m

Area = \frac{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

<em>Hence, Usha's thought is correct</em>

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