To determine the area of a rectangle, one strategy is to split the rectangle into smaller pieces, and determine the smaller areas first. Explain how this strategy relates to binomial multiplication.

Say you have a big rectangle. You can split that big rectangle up into little rectangles, say unit rectangles whose areas are 1, and then count up all those little rectangles to find the area of the larger rectangle. So for instance:
I have a rectangle that has an area of 4ft^2
I can split up that rectangle to smaller rectangles of 1ft^2
Then I can count how many smaller rectangles I have and deduce the area of the larger rectangle form that -> 1ft^2 * 4 = 4ft^2

ayoushivt ayoushivt · Answer 2 · 2022-07-15T08:58:39+02:00

Area of the rectangle is determined by Binomial Multiplication as given below.

What is Binomial Multiplication ?

Binomial Multiplication follows FOIL method , Firsts , Outer terms , Inner Terms , Last Terms.

A rectangle is given and area of the rectangle has to be determined by splitting it into smaller rectangles.

Let the rectangle is of 5*3 ft

To determine the area the rectangle has been split into rectangles of 15 rectangles as seen in the figure attached.

Area of the smaller rectangle is given by Length * Breadth = 1*1

Let us consider x = 1

Then

The side of the rectangle will be ( x+4) ( x+2)

On solving this by FOIL

x² + 6x +8

Area = x² + 6x +8

Area = 1 + 6 + 8 = 15 sq.ft

Area of the bigger rectangle =

= ( Area of 1st rectangle + Area of 2nd Rectangle + ...... + Area of 15th Rectangle)

= 15 * ( Area of the smaller rectangle)

Area of the bigger rectangle = 15 * ( 1 * 1)

To know more about Binomial Multiplication

https://brainly.com/question/13714171

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