The owners of a restaurant

Question

https://ibb.co/yndSNPYZ

Answer 1

The link in your question states the problem as:

The owners of a restaurant have decided to build an outdoor patio to increase the number of customers that they can serve in the summer. The patio area will be made of interlocking paving stones with different stones along the border. The paving stones cost $52.95/m². The border stones are priced according to the length of the border and cost $15.50/m. How much will the materials for the patio cost, including 13% HST? Allow an additional 10% to account for the stones that must be cut for the design.

This is one of those problems that will not reflect reality because geometry is based on lines of zero width and paving stones do not have zero width. But I'll do it the geometry way.

Here is the sketch provided:

Cost of Paving Stones:

First let's calculate the area of the shape.

1. Left triangle: A = (1/2)bh = (1/2)(3)(4) = 6 m²
2. Right triangle: A = (1/2)bh = (1/2)(5)(4) =10 m²
3. Rectangle in center: A = LW = (6)(4) = 24 m²
4. Semicircle at bottom: A = (1/2)π(r²) = (1/2)(π)(3²) = 14.137 m²
5. Total area = 6 + 10 + 24 + 14.137 = 54.137 m²

Add 10% to accommodate cutting (per direction) = (54.137)(1.1) = 59.551 m²

Then multiply by the cost of the paving stones: (59.551)(52.95) = $3153.21

Then add tax: (3153.21)(1.13) = $3563.13

Cost of Border Stones:

First calculate the perimeter (note that the triangles require that the hypotenuse length be calculated using the Pythagorean Theorem and the half circumference of the circle requires the use of C = 2πr/2):

Starting from the upper left and going clockwise:

P = 3 + 6 + 5 + √(5² + 4²) + 2(π)(3)/2 + √(3² + 4²)

P = 14 + √41 + 3π + √25

P = 14 + 6.403 + 9.425 + 5

P = 34.828 m

Add 10%: (34.828)(1.1) = 38.311 m

Multiply by the cost of the border stones: (38.311)(15.50) = $593.82

Add tax: (593.82)(1.13) = $671.02

Total cost = $3563.13 + $671.02 = $4234.15

Answer 2

?????? But if you want tutoring in Math here I am.