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three identical rectangles have a combined area of 8.1m². each rectangl…

Question

three identical rectangles have a combined area of 8.1m². each rectangle has a length of 1.8 m. what is the width of each rectangle?

Explanation:

Step1: Calculate area of one rectangle

Since three identical rectangles have a combined area of \(8.1m^{2}\), the area of one rectangle \(A=\frac{8.1}{3}\).

$$A = 2.7m^{2}$$

Step2: Use area formula to find width

The area formula of a rectangle is \(A = length\times width\). Given \(length = 1.8m\) and \(A=2.7m^{2}\), then \(width=\frac{A}{length}\).

$$width=\frac{2.7}{1.8}=1.5m$$

Answer:

\(1.5m\)