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Question
relate area to addition and multiplication
1 use repeated reasoning connor is measuring a rectangular picture using unit squares. each unit square is 1 square inch. so far, he has made 3 rows with 5 unit squares in each row. he sees that there will be 2 more rows of 5. explain how connor can use multiplication to find the area of the picture.
find the area of the figure. show repeated addition. show multiplication.
2 each unit square is 1 square foot.
3 each unit square is 1 square inch.
add.
multiply.
area =
add.
multiply.
area =
4 math on the spot a tile company tiles a wall using square tiles. a mural is painted in the center. the drawing shows the design. the area of each tile used is 1 square foot.
write a problem that can be solved by using the drawing. then solve your problem.
Step1: Determine total number of rows
He has 3 rows and will have 2 more rows, so total rows $=3 + 2=5$ rows.
Step2: Identify number of units in each row
There are 5 unit - squares in each row.
Step3: Use multiplication formula for area
The area $A$ of a rectangle (formed by unit - squares) is given by $A=\text{number of rows}\times\text{number of unit - squares in each row}$. So $A = 5\times5=25$ square inches.
For problem 2:
Step1: Count rows and columns
There are 3 rows and 8 columns of unit - squares.
Step2: Repeated addition
$8 + 8+8=24$.
Step3: Multiplication
$3\times8 = 24$ square feet. Area $=24$ square feet.
For problem 3:
Step1: Count rows and columns
There are 4 rows and 3 columns of unit - squares.
Step2: Repeated addition
$3+3 + 3+3=12$.
Step3: Multiplication
$4\times3=12$ square inches. Area $=12$ square inches.
For problem 4:
Let's say the problem is: "What is the area of the non - mural part of the wall?"
Step1: Count total tiles
Count the total number of tiles in the drawing. Let's assume there are 10 rows and 6 columns of tiles, so total tiles $=10\times6 = 60$ square feet.
Step2: Count mural tiles
Let's say the mural part has 4 rows and 3 columns of tiles within it, so mural area $=4\times3=12$ square feet.
Step3: Calculate non - mural area
Non - mural area $=60 - 12=48$ square feet.
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- The area of the picture is 25 square inches.
- Add: $8 + 8+8=24$, Multiply: $3\times8 = 24$, Area $=24$ square feet.
- Add: $3+3 + 3+3=12$, Multiply: $4\times3=12$, Area $=12$ square inches.
- Problem: What is the area of the non - mural part of the wall? Answer: 48 square feet.