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Answer: (1) Leslie will need 2,380,525 square tiles (1 foot by 1 foot each)
(2) She will have to spend $1,785,393.75 to cover her patio.
Step-by-step explanation: Please refer to the picture attached.
The rectangular patio has been designed and as shown in the diagram has on side measuring 2135 ft and the other side measuring 1115 ft. This means, in order to cover the entire patio, she would have to cover an entire area defined as 2,135 feet into 1,115 feet. If one tile measures 1 foot long by 1 foot wide, the total number of tiles to cover the patio can simply be derived as;
Area = L x W
Where the length is 2135 and the width is 1115,
Area = 2135 x 1115
Area = 2380525
**Having in mind that one tile measures 1 ft by 1 ft, the area of each tile is given as
Area = L x W
Area = 1 x 1
Area = 1 square foot**
(1) The above calculation shows that Leslie would be using up a total of 2,380,525 square tiles to completely cover her patio.
(2) Having been told that each square foot of tile costs 75 cents ($0.75), the total amount spent to cover her patio would be calculated as follows;
Cost = Area x cost per tile
Cost = 2380525 x 0.75
Cost = 1785393.75
The total cost therefore is $1,785,393.75
Since the triangles are similar, the ratio of the sides of larger triangle to the smaller triangle is a constant.
That constant =
Since the sides are in that constant proportion, the area of the triangles will also be in proportion.
(Area of larger triangle) over (Area of smaller triangle) =
= 123.6 ≈ 124
Hence, to the nearest whole number the area of smaller triangle is 124 <span>ft</span>²<span>.</span>
That constant =
Since the sides are in that constant proportion, the area of the triangles will also be in proportion.
(Area of larger triangle) over (Area of smaller triangle) =
Hence, to the nearest whole number the area of smaller triangle is 124 <span>ft</span>²<span>.</span>