Question

Mr Smith struggles with calculations and decided to use a tape measure to measure the width of one arch starting from the base of one upright to the base of the other upright on the other side. It measured 13100 mm.
2.3.2) Determine how many rolls of shade cloth are required if one roll is 3m wide
2.3.3) Hence, determine the total cost of the shade cloth

Answer 1

The distance between two uprights of 13,100 mm. and an assumption of a semicircular arch, gives;

2.3.2) The number of rolls required are 7 rolls

2.3.3) The total cost of the shade cloth is 7•C, where C is the cost per roll of the shade cloth

Which equation of a semicircle can be used to find the number of rolls?

The distance between two uprights = 13,100 mm

13,100 mm = 13.1 m

Therefore;

Distance between two uprights = 13.1 m

Taking the arch as a semicircle, we have;

Distance between the uprights = Diameter of the semicircle, D

Which gives;

Diameter of the arch, D = 13.1 m

Length of a semicircle = π•D/2

Which gives;

Length of the arch = π × 13.1/2 ≈ 20.6 m.

2.3.2. Width of one roll of shade cloth, W = 3 m.

Number of rolls required, n, is therefore;

n = 20.6 m. ÷ 3 m/roll ≈ 7 rolls

• Approximately 7 rolls of shade cloth will be required

2.3.3) The total cost, T, of the shade cloth is given by the equation;

T = n × Cost of one roll of the shade cloth, C

Depending on the cost of one roll, the total cost will be; T = 7 × C

Which gives;

• Total cost, T = 7•C

Learn more about writing equations here:

brainly.com/question/21841916

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