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LuckyWell [14K]
2 years ago
6

The organic garden at a restaurant is rectangular in shape and has a perimeter of 84ft. If the length of the garden is 24ft long

er than the width of the garden, what is the area of the garden in square ft? A)9 B)33 C)84 D)297
Mathematics
1 answer:
ArbitrLikvidat [17]2 years ago
5 0

Answer: 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

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Answer:

Step-by-step explanation:

Let x be the number of students that like both algebra and geometry. Then:

1. 45-x is the number of students that like only algebra;

2. 53-x is the number of students that like only geometry.

You know that 6 students do not like any subject at all and there are 75 students in total.

If you add the number of students that like both subjects, the number of students that like only one subject and the number of students that do not like any subject, you get 75.

Therefore,

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Solve this equation:

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<h3>The correct choice is D.</h3>

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