Jonathan is designing a rectangular path for his garden using paving stones. The paving stones are square and 50cm wide. If the path is to be 8m long and 1 m wide, how many paving stones will Jonathon need to buy?

32 paving stones

Step-by-step explanation:

Hi, to answer this question, first we have to convert the measures of the paving stones into meters.

Since: 1m = 100 cm

50 cm /100 = 0.5m

Now, we have to calculate the area of each paving stone:

Area of a square: s^2 = 0.5^2 = 0.25m2

Next, the area of the path.

Area of a rectangle = width x length = 1 x 8 = 8 m2

Finally, we have to divide the area of the path by the area of each paving stone:

8/0.25 = 32 paving stones

Feel free to ask for more if needed or if you did not understand something.

Jonathon needs to buy 32 paving stones.

Step-by-step explanation:

The paving stones are square and 50cm wide. Since each paving stone is a square, the side lengths are equal. Area of each stone is

50² = 2500 cm²

100 cm = 1 meter

the path is to be 8m long and 1 m wide. Converting to cm, it becomes

Length = 8 × 100 = 800 cm

1 × 100 = 100 cm

Area of the path to be covered is

800 × 100 = 80000 cm²

Therefore, the number of paving stones that Jonathon needs to buy is

80000/2500 = 32

answer: about 22.67

step-by-step explanation:

answer: 204

step-by-step explanation:

we are told that the revenue is

x⋅(4080−10x)=−10x^2+4080x

this is a quadratic function, so to maximize it we should find the x-value of its vertex. recall that the x-value of the vertex of the parabola ax^2+bx+c is given by the formula −b/2a.

so in this case, we have a=−10 and b=4080, so the x-value of the vertex is

−b/2a= −(4080)/2(−10)=204