Question

the following area model shows 2 × 459 broken into parts. the image is not drawn to scale. 400 50 9 2 a b c find the area of each rectangle. a = b = c = find the total area.

Explanation:

Step1: Calculate area of A

The dimensions of rectangle A are 2 and 400. Using the area formula \(A = l\times w\), we have \(2\times400 = 800\).

Step2: Calculate area of B

The dimensions of rectangle B are 2 and 50. Using the area formula \(A = l\times w\), we have \(2\times50=100\).

Step3: Calculate area of C

The dimensions of rectangle C are 2 and 9. Using the area formula \(A = l\times w\), we have \(2\times9 = 18\).

Step4: Calculate total area

The total area is the sum of the areas of A, B and C. So \(800 + 100+18=918\).

Answer:

\(A = 800\)
\(B = 100\)
\(C = 18\)
Total area \(= 918\)