Question

This area model represents the product of 27 and another number. What is the

Answer 1

Answer:

The other number is 25

See explanation below

Step-by-step explanation:

The question is incomplete. Since we were not given the area or the answer to the multiplication of the two numbers, I would show you how to multiply two 2-digit numbers using the area model.

Let's assume we want to find the area model of 27 and 25.

We would write the multiplicands(the two digit numbers) in expanded form as tens and ones.

So, 27 becomes 20 and 7

25 becomes 20 and 5.

Then draw a box that is 2 by 2 grid ( 2 rows and 2 columns)

Then multiply the 1st column by the 1st row, 2nd column by 2nd row. Afterwards sum the values obtained together.

For the question: 25×27

20×20, 20×5, 20×7, 5÷7

400, 100, 140, 35

Their sum = 400 + 100+ 140 +35

= 675

See attachment for diagram.

In this question only one of the numbers is given. The area of the two numbers wasn't given.

Assuming the area of the two numbers was given and one if the numbers was also given, we would apply area model of division.

Example: Area of the both numbers = 675, the other number given = 27. Find the other number.

The area model of solving division is gotten from finding the area of a rectangle.

Since Area of a rectangle = Length × Width

Then the the value of length would be greater than value of breadth.

675÷27 = 25

So break it down to 20 and 5. Hence You divide first by 20 in first column. Then divide the remainder (135) by 5 in second column.

See diagram for explanation