Find the square of the following numbers and solve word problems involving multiplication.

Question

ScanSolve AI Tutor · Accepted Answer

Here are the solutions to the problems.

2. Find the square of the following numbers:

a) 0.0346
To find the square, multiply the number by itself.

(0.0346)^2 = 0.0346 \times 0.0346

(0.0346)^2 = 0.00119716

The square is $\boxed{0.00119716}$ .

b) 456.3
To find the square, multiply the number by itself.

(456.3)^2 = 456.3 \times 456.3

(456.3)^2 = 208209.69

The square is $\boxed{208209.69}$ .

c) 2.932
To find the square, multiply the number by itself.

(2.932)^2 = 2.932 \times 2.932

(2.932)^2 = 8.596624

The square is $\boxed{8.596624}$ .

3. A farmer had sixty-two tree seedlings in each row. If the number of rows were sixty-two, how many tree seedlings did he plant altogether?

Identify the number of seedlings per row and the number of rows.
Number of seedlings per row $= 62$ .
Number of rows $= 62$ .
Calculate the total number of seedlings by multiplying the number of seedlings per row by the number of rows.
Total seedlings $= \text{Number of seedlings per row} \times \text{Number of rows}$
Total seedlings $= 62 \times 62$
Total seedlings $= 62^2$
Total seedlings $= 3844$
The farmer planted $\boxed{3844}$ tree seedlings altogether.

4. Doreen made a square table cloth measuring 126.3 cm long. What is the area of the table cloth in cm²?
Identify the shape and its dimensions.
The table cloth is square, and its side length is $126.3 \text{ cm}$ .
Use the formula for the area of a square.
Area of a square $= (\text{side})^2$
Area $= (126.3 \text{ cm})^2$
Area $= 126.3 \text{ cm} \times 126.3 \text{ cm}$
Area $= 15951.69 \text{ cm}^2$
The area of the table cloth is $\boxed{15951.69 \text{ cm}^2}$ .

5. During a home science lesson, learners displayed square mats they had made. Calculate the area of each square mat whose sides were:

a) 34.57 cm
Identify the shape and its dimensions.
The mat is square, and its side length is $34.57 \text{ cm}$ .
Use the formula for the area of a square.
Area of a square $= (\text{side})^2$
Area $= (34.57 \text{ cm})^2$
Area $= 34.57 \text{ cm} \times 34.57 \text{ cm}$
Area $= 1195.1849 \text{ cm}^2$
The area of the square mat is $\boxed{1195.1849 \text{ cm}^2}$ .

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