Question

I need to write a MATLAB code for this question, but I couldn't figure how to do it.

7. Engineers often have to convert from one unit of measurement to another; this can be tricky sometimes. You need to think through the process carefully. For example, convert 5 acres to hectares, given that an acre is 4840 square yards, a yard is 36 inches, an inch is 2.54 cm, and a hectare is 10000 m².

Answer 1

First developing a formula to convert acres to hectares using the conversions given in the question.

The conversions given are:

1 acre = 4840 square yards

1 yard = 36 inches

1 inch = 2.54 cm

1 hectare = 10000 m².

1 square yard = 36² inches²

= (36 x 2.54)² cm²

Therefore,

1 acre = 4840 x (36 x 2.54)² cm²

= 0.4047 x 10⁸ cm²

= 0.4047 x 10⁸ x 10^-4 m² (1 cm² = 10^-4 m²)

= 0.4047 x 10⁴ m²

= 0.4047 hectares

So,

1 acre = 0.4047 hectares

Code:

y = AcresToHectares(5);

function hectares = AcresToHectares(acres)              
    hectares = 0.4047 * acres;
    fprintf('%d acres converted into hectares is: %.3f hectares',acres,hectares);
end

Code screenshot:

Output: