Your yard is not wide.

Your yard is not 'wide'!

Of course I love my house. It has a yard. Actually it’s not a very wide yard.

Here an Indonesian candidate is translating luas as wide, which is not the best translation.

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In English, wide is one of several dimensions (including long, deep, etc.), and doesn't really communicate the idea of overall size.

If you tell me your yard is wide, I immediately want to know whether it is long. Then I might be able to decide whether it is big or small. For example, a yard might be 10m wide, but only 10cm long.

To communicate the idea of overall size – when speaking about the land next to, between, or surrounding buildings – it would be better to say:

Of course I love my house. It has a yard. Actually it’s not a very big yard.

More academic synonyms for big might include spacious, expansive.