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22.11.2019 •
Mathematics
The organic garden at a restaurant is rectangular in shape and has a perimeter of 84ft. if the length of the garden is 24ft longer than the width of the garden, what is the area of the garden in square ft? a)9 b)33 c)84 d)297
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Ответ:
the area of the garden is 297 ft^2
Step-by-step explanation:
The organic garden at a restaurant is rectangular in shape and has a perimeter of 84ft. This means that the total distance around the restaurant is 84ft.
Perimeter of a rectangle is expressed as 2(L + W)
L = length of the rectangle
W = width of rectangle.
Since the perimeter is 84ft
2(L + W) = 84
If the length of the garden is 24ft longer than the width of the garden, this means that
L = W + 24
Therefore
2(W +24 + W) = 84
2(2W +24) = 84
4W + 48 = 84
4W =84 - 48 = 36
W = 36/4 = 9
L = W + 24 = 9+24
L = 33 feet
Area if a rectangle is expressed as
Area = L× W
Area = 33 × 9 = 297 ft^2
Ответ:
Step-by-step explanation:
Right triangle ABC is reflected over AC to form triangle AFC.
Triangle AFC dilated by a scale factor of two-thirds to form triangle DEC.
Reflection is a rigid transformation which preserves lengths and angles, then
Dilation is a transformation which maps the triangle into similar triangle, so
Thus,
Similar triangle have congruent corresponding angles, so
and proportional corresponding sides
Thus, correct options are: