Question

a bulldozer clears a rectangular piece of land of sides 1.732 km × 1.5 km every week. find the area the bulldozer can clear in 100 days, leave the answer in standard form.

Explanation:

Step1: Calculate weekly - cleared area

The area of a rectangle is $A = l\times w$. Given $l = 1.732$ km and $w = 1.5$ km, the area cleared per week $A_{week}=1.732\times1.5 = 2.598$ km².

Step2: Calculate the number of weeks in 100 days

Since there are 7 days in a week, the number of weeks $n=\frac{100}{7}$.

Step3: Calculate the area cleared in 100 days

The area cleared in 100 days $A = A_{week}\times n=2.598\times\frac{100}{7}=\frac{259.8}{7}=37.11428571\approx3.711428571\times 10^{1}$ km².

Answer:

$3.711428571\times 10^{1}$ km²