Question

knowledge check question 18 find the area of this rectangle. square mill

Explanation:

Step1: Recall the formula for the area of a rectangle

The area formula for a rectangle is \(A = l\times w\), where \(l\) is the length and \(w\) is the width. Here, \(l=\frac{5}{8}\) mm and \(w = \frac{3}{4}\) mm.

Step2: Multiply the two fractions

When multiplying fractions, use the rule \(\frac{a}{b}\times\frac{c}{d}=\frac{a\times c}{b\times d}\). So, \(\frac{5}{8}\times\frac{3}{4}=\frac{5\times3}{8\times4}\).
Calculate \(5\times3 = 15\) and \(8\times4=32\).

Answer:

\(\frac{15}{32}\)