Question

d rectangles. then, find the total area of the large angles.
b.
\\(12 \times 5 = (\underline{\quad}+2) \times 5\\)
\\(\quad\quad\quad= (\underline{\quad} \times 5)+(2 \times 5)\\)
\\(\quad\quad\quad= \underline{\quad} + 10\\)
\\(\quad\quad\quad= \underline{\quad}\\)
area: \\(\underline{\quad}\\) square units

Explanation:

Step1: Decompose 12

We know that \(12 = 10 + 2\), so \(12\times5=(10 + 2)\times5\).

Step2: Apply distributive property

By the distributive property \(a\times(b + c)=(a\times b)+(a\times c)\), here \(a = 5\), \(b = 10\), \(c = 2\), so \((10 + 2)\times5=(10\times5)+(2\times5)\).

Step3: Calculate \(10\times5\)

\(10\times5 = 50\), so we have \(50+10\).

Step4: Sum the results

\(50 + 10=60\).

Answer:

First blank: \(10\)
Second blank: \(10\)
Third blank: \(50\)
Fourth blank: \(60\)
Area: \(60\) square units