Question

Use a rectangular array to write the product in standard form 3(4b + 12c + 11)

Answer 1

The given product is:

$3(4b+12c+11)$

It is required to use a rectangular array to write the product in standard form.

Draw the rectangular array as shown:

Partition the sum to give small rectangles as shown:

Calculate the area of each rectangle by multiplying the width and length, then find the sum to write the product in standard form:

Write the areas as a sum:

$12b+36c+33$

Hence, the required product in standard form is 12b+36c+33.

The required product in standard form is 12b+36c+33.