Question

a rectangular field is 31 m by 29 m. find its area in m² and in ha. the area is □ m².

Explanation:

Step1: Calculate the area in \(m^{2}\)

The area formula for a rectangle is \(A = l\times w\), where \(l = 31m\) and \(w=29m\). So \(A=31\times29\).
Using the formula \((a + b)(a - b)=a^{2}-b^{2}\), we can rewrite \(31\times29=(30 + 1)(30-1)=30^{2}-1^{2}=900 - 1=899m^{2}\).

Step2: Convert the area from \(m^{2}\) to hectares

Since \(1\) hectare (\(ha\)) \( = 10000m^{2}\), then \(A\) (in \(ha\)) \(=\frac{899}{10000}=0.0899ha\).

Answer:

The area is \(899m^{2}\) and \(0.0899ha\).