Question

find the following measurements.
parallelogram: base = 10 units height = 4 units
what are the length and width of the rectangle?
rectangle: length = units width = ? units

Explanation:

Step1: Calculate area of parallelogram

The area formula for a parallelogram is \(A = base\times height\). Given \(base = 10\) units and \(height=4\) units.

$$A = 10\times4=40$$

Step2: Relate parallelogram and rectangle area

The area of the rectangle is equal to the area of the parallelogram. Let the length of the rectangle be \(l\) and width be \(w\). Assume \(l = 8\) units (by counting grid - like structure in the image, if we assume each small square is 1 unit. A common - sense assumption as the problem seems to be based on visual counting). Then using the area formula for a rectangle \(A=l\times w\), and \(A = 40\), \(l = 8\).

$$w=\frac{A}{l}=\frac{40}{8}=5$$

Answer:

length \( = 8\) units, width \(=5\) units