Question

1. fill in the missing parts of the rectangle. then write an equation showing the area as a product of the dimensions equal to the area as the sum of the parts.

24x

Explanation:

Step1: Find the missing part in the first row

The area of a rectangle is \(length\times width\). For the first - row first - column rectangle with width \(24x\) and length \(0.5y\), the area is \(24x\times0.5y = 12xy\) (already given). For the first - row second - column rectangle with width \(24x\) and length \(3\), the area is \(24x\times3=72x\).

Step2: Write the equation for the area as a product of dimensions

The length of the large rectangle is \(0.5y + 3\) and the width is \(24x\). So the area \(A=(0.5y + 3)\times24x\).

Step3: Write the equation for the area as a sum of parts

The sum of the areas of the two smaller rectangles is \(12xy+72x\).

Answer:

The missing part is \(72x\). The equation \(24x(0.5y + 3)=12xy + 72x\)