2. The length of a rectangle is 12 cm and the area is 96 cm2. What is the width?
2.
3. I need to buy a carpet for a room that measures 3 m by 2 m. How many
square meters do I need?
4. The diameter of a circle is 3 cm. What is the circumference?
5. A painting measures 40 cm by 35cm. How many squared cm does its
surface cover?
6. The circumference of a circle is 15.7 cm. What is the diameter?
7. One side of a square measures 15cm. What is its area?
8. If the area of a rectangle is 60 cm and its width is 6 cm. What is its length?
9. The area of a square is 81 cm? What is the length of one of its sides?
10. The area of a circle is 201 cm? What is the diameter?

Step-by-step explanation:

2. To find area, you use this equation: A = l*w

Let's input the values we do know to find the width.

96 = 12 * w

Divide both sides by 12 to isolate the w.

8 = w

The width is 8 cm.

3. We need the find the area of the floor to figure out how many square meters they need. to find area, we multiply the length by the width.

3 * 2 = 6

You need 6 sq. m.

4. To find the circumference, use the equation: C = 2 * pi *r

To find the radius, divide the diameter by 2.

3/2 = 1.5

C = 2pi(1.5)

C = 3pi

The circumference is 3pi. This can also be simplified to 9.42 or 9.4

5. To find the amount of square cm. it covers, multiply the length and width.

40 * 35 = 1,400

The surface covers 1,400 sq. cm.

6. To find circumference, use this equation: C = d * pi

Input the values you do know to find the diameter

15.7 = d * pi

divide both sides by pi to isolate d

4.77 = d

The diameter is approximately 4.8 cm.

7. To find area, multiply length by width. Since we know all sides of a square are the same, you can multiply 15 by 15 to get the answer.

15 * 15 = 225

The area is 225 sq. cm.

8. To find area, use this equation: A = l * w

put the values you know into the equation to find the length.

60 = l * 6

divide both sides by 6 to isolate the l

10 = l

The length is 10 cm.

9. To find the area of a square, the equation is: A = s^2

Input the values you know to find the length of a side.

81 = s^2

Find the square root of both sides to isolate the s.

9 = s

The length of one side is 9 cm.

10. To find the area of a circle, use this equation: A = pi * r^2

Input the values you know and solve for r.

201 = pi * r^2

Find the square root of both sides and divide both sides by pi to isolate the r.

7.998 = r

The radius is approximately 8 cm. Multiply this value by 2 to find the length of the diameter.

8 * 2 = 16

The diameter is approximately 16 cm.

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step-by-step explanation:

d. $180

step-by-step explanation:

if the dimensions of the room is 9ft by 12 ft, we have the area of the floor as,

so the area of the floor is 108 square feet, converting that into square yards we get,

the cost of carpet is $15 per square yard, therefore the cost of carpet for 12 square yards is,

hence, the cost of carpet is $180.

assuming the dimensions of the room be,

15 ft by 12 ft

so, the area of the floor of that room is,

we can convert 180 square feet into square yards, we know that,

1 sq ft = 0.111 sq yard

so, 180 square feet is,

so the area of floor is 20 square yards.

now, the cost of carpet is 15 dollars per square yard, therefore the cost of carpet for 20 square yards is,

so, it will cost $300.